Optical image capturing system having four-piece optical lens

ABSTRACT

A four-piece optical lens for capturing image and a five-piece optical module for capturing image are provided. In the order from an object side to an image side, the optical lens along the optical axis includes a first lens with positive refractive power; a second lens with refractive power; a third lens with refractive power; and a fourth lens with refractive power; and at least one of the image-side surface and object-side surface of each of the four lens elements are aspheric. The optical lens can increase aperture value and improve the imaging quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims priority from Taiwan Patent Application No.105122642, filed on Jul. 18, 2016, in the Taiwan Intellectual PropertyOffice, the content of which is hereby incorporated by reference in itsentirety for all purposes.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The present disclosure relates to an optical image capturing system, andmore particularly to a compact optical image capturing system which canbe applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices havingcamera functionalities, the demand for an optical image capturing systemis raised gradually. The image sensing device of ordinary photographingcamera is commonly selected from charge coupled device (CCD) orcomplementary metal-oxide semiconductor sensor (CMOS Sensor). Inaddition, as advanced semiconductor manufacturing technology enables theminimization of pixel size of the image sensing device, the developmentof the optical image capturing system directs towards the field of highpixels. Therefore, the requirement for high imaging quality is rapidlyraised.

The traditional optical image capturing system of a portable electronicdevice comes with different designs, including a second-lens or athird-lens design. However, the requirement for the higher pixels andthe requirement for a large aperture of an end user, likefunctionalities of micro filming and night view, or the requirement ofwide view angle of the portable electronic device have been raised. Butthe optical image capturing system with the large aperture design oftenproduces more aberration, resulting in the deterioration of quality inperipheral image formation and difficulties of manufacturing, and theoptical image capturing system with wide view angle design increasesdistortion rate in image formation, thus the optical image capturingsystem in prior arts cannot meet the requirement of the higher ordercamera lens module.

Therefore, it is a pressing issue to come up a way to effectivelyincrease the amount of admitted light into and the angle of view of theoptical image capturing system, so as to achieve a balanced design,which can minimize the size of the camera module, while meeting theusers' requirement for higher total pixel count and better imagequality.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an opticalimage capturing system and an optical image capturing lens which usecombination of refractive powers, convex and concave surfaces offour-piece optical lenses (the convex or concave surface in the presentdisclosure denotes the geometrical shape of an image-side surface or anobject-side surface of each lens on an optical axis) to increase theamount of light admitted into the optical image capturing system and theangle of view of the optical lenses, and to improve total pixel countand the image quality, while possessing certain amount of relativeillumination, so as to be applied to minimized electronic products.

In addition, when it comes to certain application of optical imaging,there will be a need to capture image via light sources with wavelengthsin both visible and infrared ranges, an example of this kind ofapplication is IP video surveillance camera, which is equipped with theDay & Night function. The visible spectrum for human vision haswavelengths ranging from 400 to 700 nm, but the image formed on thecamera sensor includes infrared light, which is invisible to human eyes.Therefore, under certain circumstances, an IR cut filter removable (ICR)is placed before the sensor of the IP video surveillance camera, inorder to ensure that only the light that is visible to human eyes ispicked up by the sensor eventually, so as to enhance the “fidelity” ofthe image. The ICR of the IP video surveillance camera can completelyfilter out the infrared light under daytime mode to avoid color cast;whereas under night mode, it allows infrared light to pass through thelens to enhance the image brightness. Nevertheless, the elements of theICR occupy a significant amount of space and are expensive, which impedeto the design and manufacture of miniaturized surveillance cameras inthe future.

The aspect of embodiment of the present disclosure directs to an opticalimage capturing system and an optical image capturing lens which utilizethe combination of refractive powers, convex surfaces and concavesurfaces of four lens elements, as well as the selection of materialsthereof, to reduce the difference between the imaging focal length ofvisible light and imaging focal length of infrared light, in order toachieve the near “confocal” effect without the use of ICR elements.

The terms and their definition for the lens element parameters in theembodiment of the present disclosure are shown as below for furtherreference.

The lens element parameters related to the magnification of the opticalimage capturing system

The optical image capturing system can be designed and applied tobiometrics, for example, facial recognition. When the embodiment of thepresent disclosure is configured to capture image for facialrecognition, the infrared light can be adopted as the operationwavelength. For a face of about 15 centimeters (cm) wide at a distanceof 25-30 cm, at least 30 horizontal pixels can be formed in thehorizontal direction of an image sensor (pixel size of 1.4 micrometers(μm)). The linear magnification of the infrared light on the image planeis LM, and it meets the following conditions: LM≥0.0003, where LM=(30horizontal pixels)*(1.4 μm pixel size)/(15 cm, width of the photographedobject). Alternatively, the visible light can also be adopted as theoperation wavelength for image recognition. When the visible light isadopted, for a face of about 15 cm wide at a distance of 25-30 cm, atleast 50 horizontal pixels can be formed in the horizontal direction ofan image sensor (pixel size of 1.4 micrometers (μm)).

The lens element parameter related to a length or a height in the lenselement

For visible spectrum, the present disclosure may adopt the wavelength of555 nm as the primary reference wavelength and the basis for themeasurement of focus shift; for infrared spectrum (700-1000 nm), thepresent disclosure may adopt the wavelength of 850 nm as the primaryreference wavelength and the basis for the measurement of focus shift.

The optical image capturing system includes a first image plane and asecond image plane. The first image plane is an image plane specificallyfor the visible light, and the first image plane is perpendicular to theoptical axis; the through-focus modulation transfer rate (value of MTF)at the first spatial frequency has a maximum value at the central fieldof view of the first image plane; the second image plane is an imageplane specifically for the infrared light, and second image plane isperpendicular to the optical axis; the through-focus modulation transferrate (value of MTF) at the first spatial frequency has a maximum valuein the central of field of view of the second image plane. The opticalimage capturing system also includes a first average image plane and asecond average image plane. The first average image plane is an imageplane specifically for the visible light, and the first average imageplane is perpendicular to the optical axis. The first average imageplane is installed at the average position of the defocusing positions,where the values of MTF of the visible light at the central field ofview, 0.3 field of view, and the 0.7 field of view are at theirrespective maximum at the first spatial frequency. The second averageimage plane is an image plane specifically for the infrared light, andthe second average image plane is perpendicular to the optical axis. Thesecond average image plane is installed at the average position of thedefocusing positions, where the values of MTF of the infrared light atthe central field of view, 0.3 field of view, and the 0.7 field of vieware at their respective maximum at the first spatial frequency.

The aforementioned first spatial frequency is set to be half of thespatial frequency (half frequency) of the image sensor (sensor) used inthe present disclosure. For example, for an image sensor having thepixel size of 1.12 μm or less, the quarter spatial frequency, halfspatial frequency (half frequency) and full spatial frequency (fullfrequency) in the characteristic diagram of modulation transfer functionare at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm,respectively. Lights of any field of view can be further divided intosagittal ray and tangential ray.

The focus shifts where the through-focus MTF values of the visiblesagittal ray at the central field of view, 0.3 field of view, and 0.7field of view of the optical image capturing system are at theirrespective maxima, are denoted by VSFS0, VSFS3, and VSFS7 (unit ofmeasurement: mm), respectively. The maximum values of the through-focusMTF of the visible sagittal ray at the central field of view, 0.3 fieldof view, and 0.7 field of view are denoted by VSMTF0, VSMTF3, andVSMTF7, respectively. The focus shifts where the through-focus MTFvalues of the visible tangential ray at the central field of view, 0.3field of view, and 0.7 field of view of the optical image capturingsystem are at their respective maxima, are denoted by VTFS0, VTFS3, andVTFS7 (unit of measurement: mm), respectively. The maximum values of thethrough-focus MTF of the visible tangential ray at the central field ofview, 0.3 field of view, and 0.7 field of view are denoted by VTMTF0,VTMTF3, and VTMTF7, respectively. The average focus shift (position) ofboth the aforementioned focus shifts of the visible sagittal ray atthree fields of view and focus shifts of the visible tangential ray atthree fields of view is denoted by AVFS (unit of measurement: mm), whichequals to the absolute value |(VSFS0+VSFS3+VSFS7+VTFS0+VTFS3+VTFS7)/6|.

The focus shifts where the through-focus MTF values of the infraredsagittal ray at the central field of view, 0.3 field of view, and 0.7field of view of the optical image capturing system are at theirrespective maxima, are denoted by ISFS0, ISFS3, and ISFS7 (unit ofmeasurement: mm), respectively. The average focus shift (position) ofthe aforementioned focus shifts of the infrared sagittal ray at threefields of view is denoted by AISFS (unit of measurement: mm). Themaximum values of the through-focus MTF of the infrared sagittal ray atthe central field of view, 0.3 field of view, and 0.7 field of view aredenoted by ISMTF0, ISMTF3, and ISMTF7, respectively. The focus shiftswhere the through-focus MTF values of the infrared tangential ray at thecentral field of view, 0.3 field of view, and 0.7 field of view of theoptical image capturing system are at their respective maxima, aredenoted by ITFS0, ITFS3, and ITFS7 (unit of measurement: mm),respectively. The average focus shift (position) of the aforementionedfocus shifts of the infrared tangential ray at three fields of view isdenoted by AITFS (unit of measurement: mm). The maximum values of thethrough-focus MTF of the infrared tangential ray at the central field ofview, 0.3 field of view, and 0.7 field of view are denoted by ITMTF0,ITMTF3, and ITMTF7, respectively. The average focus shift (position) ofboth of the aforementioned focus shifts of the infrared sagittal ray atthe three fields of view and focus shifts of the infrared tangential rayat the three fields of view is denoted by AIFS (unit of measurement:mm), which equals to the absolute value of|(ISFS0+ISFS3+ISFS7+ITFS0+ITFS3+ITFS7)/6|.

The focus shift (difference) between the focal points of the visiblelight and the infrared light at their central fields of view (RGB/IR) ofthe entire optical image capturing system (i.e. wavelength of 850 nmversus wavelength of 555 nm, unit of measurement: mm) is denoted by FS,which satisfies the absolute value |(VSFS0+VTFS0)/2−(ISFS0+ITFS0)/2|.The difference (focus shift) between the average focus shift of thevisible light in the three fields of view and the average focus shift ofthe infrared light in the three fields of view (RGB/IR) of the entireoptical image capturing system is denoted by AFS (i.e. wavelength of 850nm versus wavelength of 555 nm, unit of measurement: mm), which equalsto the absolute value of |AIFS−AVFS|.

The maximum height of an image formed by the optical image capturingsystem is denoted by HOI. The height of the optical image capturingsystem is denoted by HOS. A distance from the object-side surface of thefirst lens element to the image-side surface of the fourth lens elementis denoted by InTL. A distance from the image-side surface of the fourthlens element to the first image plane is denoted by InB, whereInTL+InB=HOS. A distance from an aperture stop (aperture) to the firstimage plane is denoted by InS. A distance from the first lens element tothe second lens element is denoted by In12 (example). A centralthickness of the first lens element of the optical image capturingsystem on the optical axis is denoted by TP1 (example).

The lens element parameter related to the material in the lens element

An Abbe number of the first lens element in the optical image capturingsystem is denoted by NA1 (example). A refractive index of the first lenselement is denoted by Nd1 (example).

The lens element parameter related to view angle in the lens element

A view angle is denoted by AF. Half of the view angle is denoted by HAF.A major light angle is denoted by MRA.

The lens element parameter related to exit/entrance pupil in the lenselement

An entrance pupil diameter of the optical image capturing system isdenoted by HEP. The exit pupil diameter of the optical image capturingsystem is the image formed with respect to the image space after thelight passing through lens elements assembly behind the aperture stop.The exit pupil diameter is denoted by HXP. The maximum effective halfdiameter (EHD) of any surface of a single lens element refers to aperpendicular height between the optical axis and an intersection point;the intersection point is where the incident ray with the maximum viewangle passes through the outermost edge of the entrance pupil, andintersects with the surface of the lens element. For example, themaximum effective half diameter of the object-side surface of the firstlens element is denoted by EHD 11. The maximum effective half diameterof the image-side surface of the first lens element is denoted by EHD12. The maximum effective half diameter of the object-side surface ofthe second lens element is denoted by EHD 21. The maximum effective halfdiameter of the image-side surface of the second lens element is denotedby EHD 22. The maximum effective half diameters of any surfaces of otherlens elements in the optical image capturing system are denoted in thesimilar way.

The lens element parameter related to the depth of the lens elementshape

A distance paralleling an optical axis from a maximum effective halfdiameter position to an axial point on the object-side surface of thefourth lens element is denoted by InRS41 (example). A distanceparalleling an optical axis from a maximum effective half diameterposition to an axial point on the image-side surface of the fourth lenselement is denoted by InRS42 (example).

The lens element parameter related to the lens element shape

The critical point C is a point on a surface of a specific lens element,and the tangent plane to the surface at that point is perpendicular tothe optical axis, and the point cannot be the axial point on thatspecific surface of the lens element. Therefore, a perpendiculardistance between a critical point C31 on the object-side surface of thethird lens element and the optical axis is HVT31 (example). Aperpendicular distance between a critical point C32 on the image-sidesurface of the third lens element and the optical axis is HVT32(example). A perpendicular distance between a critical point C41 on theobject-side surface of the fourth lens element and the optical axis isHVT41 (example). A perpendicular distance between a critical point C42on the image-side surface of the fourth lens element and the opticalaxis is HVT42 (example). The perpendicular distances between thecritical point on the image-side surface or object-side surface of otherlens elements are denoted in similar fashion.

The inflection point on object-side surface of the fourth lens elementthat is nearest to the optical axis is denoted by IF411, and the sinkagevalue of that inflection point IF411 is denoted by SGI411 (example). Thesinkage value SGI411 is a horizontal distance paralleling the opticalaxis, which is from an axial point on the object-side surface of thefourth lens element to the inflection point nearest to the optical axison the object-side surface of the fourth lens element. The distanceperpendicular to the optical axis between the inflection point IF411 andthe optical axis is HIF411 (example). The inflection point on image-sidesurface of the fourth lens element that is nearest to the optical axisis denoted by IF421, and the sinkage value of that inflection pointIF421 is denoted by SGI421 (example). The sinkage value SGI421 is ahorizontal distance paralleling the optical axis, which is from theaxial point on the image-side surface of the fourth lens element to theinflection point nearest to the optical axis on the image-side surfaceof the fourth lens element. The distance perpendicular to the opticalaxis between the inflection point IF421 and the optical axis is HIF421(example).

The object-side surface of the fourth lens element has one inflectionpoint IF412 which is the second nearest to the optical axis and thesinkage value of the inflection point IF412 is denoted by SGI412(example). SGI412 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the second nearest to theoptical axis on the object-side surface of the fourth lens element. Adistance perpendicular to the optical axis between the inflection pointIF412 and the optical axis is HIF412 (example). The image-side surfaceof the fourth lens element has one inflection point IF422 which is thesecond nearest to the optical axis and the sinkage value of theinflection point IF422 is denoted by SGI422 (example). SGI422 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is second nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF422 and the opticalaxis is HIF422 (example).

The object-side surface of the fourth lens element has one inflectionpoint IF413 which is the third nearest to the optical axis and thesinkage value of the inflection point IF413 is denoted by SGI413(example). SGI413 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the third nearest to theoptical axis on the object-side surface of the fourth d lens element. Adistance perpendicular to the optical axis between the inflection pointIF413 and the optical axis is HIF413 (example). The image-side surfaceof the fourth lens element has one inflection point IF423 which is thethird nearest to the optical axis and the sinkage value of theinflection point IF423 is denoted by SGI423 (example). SGI423 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is the third nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF423 and the opticalaxis is HIF423 (example).

The object-side surface of the fourth lens element has one inflectionpoint IF414 which is the fourth nearest to the optical axis and thesinkage value of the inflection point IF414 is denoted by SGI414(example). SGI414 is a horizontal shift distance paralleling the opticalaxis from an axial point on the object-side surface of the fourth lenselement to the inflection point which is the fourth nearest to theoptical axis on the object-side surface of the fourth lens element. Adistance perpendicular to the optical axis between the inflection pointIF414 and the optical axis is HIF414 (example). The image-side surfaceof the fourth lens element has one inflection point IF424 which is thefourth nearest to the optical axis and the sinkage value of theinflection point IF424 is denoted by SGI424 (example). SGI424 is ahorizontal shift distance paralleling the optical axis from an axialpoint on the image-side surface of the fourth lens element to theinflection point which is the fourth nearest to the optical axis on theimage-side surface of the fourth lens element. A distance perpendicularto the optical axis between the inflection point IF424 and the opticalaxis is HIF424 (example).

The inflection points on the object-side surface or the image-sidesurface of the other lens elements and the perpendicular distancesbetween them and the optical axis, or the sinkage values thereof aredenoted in the similar way described above.

The lens element parameter related to the aberration

Optical distortion for image formation in the optical image capturingsystem is denoted by ODT. TV distortion for image formation in theoptical image capturing system is denoted by TDT. Furthermore, thedegree of aberration offset within the range of 50% to 100% field ofview of the formed image can be further illustrated. The offset of thespherical aberration is denoted by DFS. The offset of the comaaberration is denoted by DFC.

The purpose of the characteristic diagram of Modulation TransferFunction (MTF) of the optical image capturing system is to test andassess the contrast and sharpness of the image formed by the system. Thevertical coordinate axis of the characteristic diagram of modulationtransfer function represents a contrast transfer rate (values are from 0to 1). The horizontal coordinate axis represents a spatial frequency(cycles/mm; lp/mm; line pairs per mm). Theoretically, an ideal opticalimage capturing system can present 100% of the line contrast of aphotographed object. However, the values of the contrast transfer rateat the vertical coordinate axis are less than 1 in the actual imagecapturing system. In addition, comparing to the central region, it isgenerally more difficult to achieve fine recovery in the peripheralregion of formed image. The contrast transfer rates (values of MTF) ofspatial frequency of 55 cycles/mm at positions of the optical axis, 0.3field of view and 0.7 field of view of a visible light spectrum on thefirst image plane are respectively denoted by MTFE0, MTFE3 and MTFE7.The contrast transfer rates (values of MTF) of spatial frequency of 110cycles/mm at the optical axis, 0.3 field of view and 0.7 field of viewon the first image plane are respectively denoted by MTFQ0, MTFQ3 andMTFQ7. The contrast transfer rates (values of MTF) of spatial frequencyof 220 cycles/mm at the optical axis, 0.3 field of view and 0.7 field ofview on the first image plane are respectively denoted by MTFH0, MTFH3and MTFH7. The contrast transfer rates (values of MTF) of spatialfrequency of 440 cycles/mm at the optical axis, 0.3 field of view and0.7 field of view on the first image plane are respectively denoted byMTF0, MTF3 and MTF7. The three fields of view described above representthe center, the inner field of view and the outer field of view of thelens elements. Thus, they may be used to evaluate whether theperformance of a specific optical image capturing system is excellent.The design of the optical image capturing system of the presentdisclosure mainly corresponds to a sensing device with pixel size below1.12 micrometers inclusive. Therefore, the quarter spatial frequency,the half spatial frequency (half frequencies) and the full spatialfrequency (full frequencies) of the characteristic diagram of modulationtransfer function respectively are at least 110 cycles/mm, 220 cycles/mmand 440 cycles/mm.

If an optical image capturing system is to capture image with infraredspectrum, such as for the purpose of night vision in the low lightcondition, it might apply operation wavelength of 850 nm or 800 nm. Asthe main function of night vision is to recognize silhouette of anobject formed in monochrome and shade, the high resolution isunnecessary, and thus, a spatial frequency, which is less than 110cycles/mm, is used to evaluate the functionality of the optical imagecapturing system, when the optical image capturing system is applied tothe infrared spectrum. When the foregoing wavelength of 850 nm is to befocused on the first image plane, the contrast transfer rates (values ofMTF) with a spatial frequency of 55 cycles/mm at the optical axis, 0.3field of view and 0.7 field of view on the first image plane arerespectively denoted by MTFI0, MTFI3 and MTFI7. However, as thedifference between infrared wavelength of 850 nm or 800 nm and that ofvisible light is huge, it is hard to design an optical image capturingsystem which is capable of focusing on the visible light and theinfrared light (dual-mode) simultaneously while achieving certainperformance respectively.

The disclosure provides an optical image capturing system, theobject-side surface or the image-side surface of the fourth lens elementmay have inflection points, such that the angle of incidence from eachfield of view to the fourth lens element can be adjusted effectively andthe optical distortion and the TV distortion can be corrected as well.Besides, the surfaces of the fourth lens element may be endowed withbetter capability to adjust the optical path, which yields better imagequality.

An optical image capturing system is provided in accordance with thepresent disclosure. In the order from an object side to an image side,the optical image capturing system includes a first lens element, asecond lens element, a third lens element, a fourth lens element, afirst image plane, and a second image plane. The first image plane is animage plane specifically for the visible light, and the first imageplane is perpendicular to the optical axis; the through-focus modulationtransfer rate (value of MTF) at the first spatial frequency has amaximum value at the central field of view of the first image plane; thesecond image plane is an image plane specifically for the infraredlight, and second image plane is perpendicular to the optical axis; thethrough-focus modulation transfer rate (value of MTF) at the firstspatial frequency has a maximum value at the central of field of view ofthe second image plane. The first through fourth lens elements all haverefractive powers. The focal lengths of the first lens element to thefourth lens element are f1, f2, f3, and f4 respectively. The focallength of the optical image capturing system is f. The entrance pupildiameter of the optical image capturing system is HEP. The distance onthe optical axis from an object-side surface of the first lens elementto the first image plane is HOS. Half of the maximum viewable angle ofthe optical image capturing system is denoted by HAF. The maximum imageheight on the first image plane perpendicular to the optical axis of theoptical image capturing system is HOI. The distance on the optical axisbetween the first image plane and the second image plane is denoted byFS. Thicknesses of the first to fourth lens elements at the height of ½HEP paralleling the optical axis are ETP1, ETP2, ETP3 and ETP4,respectively. A sum of ETP1 to ETP4 described above is SETP. Centralthicknesses of the first to fourth lens elements on the optical axis arerespectively TP1, TP2, TP3 and TP4. A sum of TP1 to TP4 described aboveis STP. The following conditions are satisfied: 1.2≤f/HEP≤10,0.5≤HOS/f≤20, |FS|≤30 μm, and 0.5≤SETP/STP<1.

Another optical image capturing system is further provided in accordancewith the present disclosure. In the order from an object side to animage side, the optical image capturing system includes a first lenselement, a second lens element, a third lens element, a fourth lenselement, a first image plane, and a second image plane. The first imageplane is an image plane specifically for the visible light, and thefirst image plane is perpendicular to the optical axis; thethrough-focus modulation transfer rate (value of MTF) at the firstspatial frequency has a maximum value at the central field of view ofthe first image plane; the second image plane is an image planespecifically for the infrared light, and second image plane isperpendicular to the optical axis; the through-focus modulation transferrate (value of MTF) at the first spatial frequency has a maximum valueat the central of field of view of the second image plane. The firstlens element has positive refractive power. The second lens element hasrefractive power and has a convex image-side surface on the opticalaxis. The third lens element has refractive power and has a conveximage-side surface on the optical axis. The focal lengths of the firstlens element to the fourth lens element are f1, f2, f3, and f4respectively. The focal length of the optical image capturing system isf. The entrance pupil diameter of the optical image capturing system isHEP. The distance on the optical axis from an object-side surface of thefirst lens element to the first image plane is HOS. Half of the maximumviewable angle of the optical image capturing system is denoted by HAF.The maximum image height on the first image plane perpendicular to theoptical axis of the optical image capturing system is HOI. The distanceon the optical axis between the first image plane and the second imageplane is denoted by FS. A horizontal distance paralleling the opticalaxis from a coordinate point on the object-side surface of the firstlens element at the height of ½ HEP to the first image plane is ETL. Ahorizontal distance paralleling the optical axis from a coordinate pointon the object-side surface of the first lens element at height of ½ HEPto a coordinate point on the image-side surface of the third lenselement at height of ½ HEP is EIN. The following conditions aresatisfied: 1.2≤f/HEP≤10, 0.5≤HOS/f≤20, |FS|≤30 μm, and 0.2≤EIN/ETL<1.

Yet another optical image capturing system is further provided inaccordance with the present disclosure. In the order from an object sideto an image side, the optical image capturing system includes a firstlens element, a second lens element, a third lens element, a fourth lenselement, a first average image plane, and a second average image plane.The first average image plane is an image plane specifically for thevisible light, and the first average image plane is perpendicular to theoptical axis. The first average image plane is installed at the averageposition of the defocusing positions, where the values of MTF of thevisible light at the central field of view, 0.3 field of view, and the0.7 field of view are at their respective maximum at the first spatialfrequency. The second average image plane is an image plane specificallyfor the infrared light, and the second average image plane isperpendicular to the optical axis. The second average image plane isinstalled at the average position of the defocusing positions, where thevalues of MTF of the infrared light at the central field of view, 0.3field of view, and the 0.7 field of view are at their respective maximumat the first spatial frequency. The first lens element has positiverefractive power. The second lens element has refractive power and has aconvex image-side surface on the optical axis. The third lens elementhas positive refractive power and has a convex image-side surface on theoptical axis. The focal lengths of the first lens element to the fourthlens element are f1, f2, f3, and f4 respectively. The focal length ofthe optical image capturing system is f. The entrance pupil diameter ofthe optical image capturing system is HEP. The distance on the opticalaxis from an object-side surface of the first lens element to the firstaverage image plane is HOS. Half of the maximum viewable angle of theoptical image capturing system is denoted by HAF. The maximum imageheight on the first average image plane perpendicular to the opticalaxis of the optical image capturing system is HOI. A horizontal distanceparalleling the optical axis from a coordinate point on the object-sidesurface of the first lens element at height of ½ HEP to the firstaverage image plane is ETL. A horizontal distance paralleling theoptical axis from a coordinate point on the object-side surface of thefirst lens element at height of ½ HEP to a coordinate point on theimage-side surface of the fourth lens element at height of ½ HEP is EIN.The following conditions are satisfied: 1.2≤f/HEP≤10, 0.5≤HOS/f≤15,0.4≤|tan(HAF)|≤6.0, 0<PhiA4/InTL≤1.5, PhiC<PhiD, 0 mm<PhiD≤3.3 mm, and0.2≤EIN/ETL<1.

The thickness of a single lens element at height of ½ entrance pupildiameter (HEP) particularly affects the performance in correcting theoptical path difference between the rays in each field of view and incorrecting aberration for the shared region among the fields of viewwithin the range of ½ entrance pupil diameter (HEP). The capability ofaberration correction is enhanced when the thickness is greater, but thedifficulty in manufacturing such lens also increases at the same time.Therefore, it is necessary to control the thickness of a single lenselement at height of ½ entrance pupil diameter (HEP), in particular tocontrol the proportional relation (ETP/TP) of the thickness (ETP) of thelens element at height of ½ entrance pupil diameter (HEP) to thethickness (TP) of the corresponding lens element on the optical axis.For example, the thickness of the first lens element at height of ½entrance pupil diameter (HEP) is denoted by ETP1. The thickness of thesecond lens element at height of ½ entrance pupil diameter (HEP) isdenoted by ETP2. The thicknesses of other lens elements are denoted insimilar way. The sum of ETP1 to ETP4 described above is SETP. Theembodiments of the present disclosure may satisfy the followingcondition: 0.3≤SETP/EIN≤0.8.

In order to enhance the capability of aberration correction and reducethe difficulty in manufacturing at the same time, it is particularlynecessary to control the proportional relationship (ETP/TP) of thethickness (ETP) of the lens element at height of ½ entrance pupildiameter (HEP) to the thickness (TP) of the lens element on the opticalaxis. For example, the thickness of the first lens element at height of½ entrance pupil diameter (HEP) is denoted by ETP1. The thickness of thefirst lens element on the optical axis is TP1. The ratio between both ofthem is ETP1/TP1. The thickness of the second lens element at height of½ entrance pupil diameter (HEP) is denoted by ETP2. The thickness of thesecond lens element on the optical axis is TP2. The ratio between bothof them is ETP2/TP2. The proportional relationships of the thicknessesof other lens element in the optical image capturing system at height of½ entrance pupil diameter (HEP) to the thicknesses (TP) of the lenselements on the optical axis lens are denoted in the similar way. Theembodiments of the present disclosure may satisfy the followingcondition: 0.5≤ETP/TP≤3.

A horizontal distance between two adjacent lens elements at height of ½entrance pupil diameter (HEP) is denoted by ED. The horizontal distance(ED) described above is in parallel with the optical axis of the opticalimage capturing system and particularly affects the performance incorrecting the optical path difference between the rays in each field ofview and in correcting aberration for the shared region among the fieldsof view within the range of ½ entrance pupil diameter (HEP). Thecapability of aberration correction may be enhanced when the horizontaldistance becomes greater, but the difficulty in manufacturing the lensis also increased and the degree of ‘minimization’ to the length of theoptical image capturing system is restricted. Thus, it is essential tocontrol the horizontal distance (ED) between two specific adjacent lenselements at height of ½ entrance pupil diameter (HEP).

In order to enhance the capability of aberration correction and reducethe difficulty for ‘minimization’ to the length of the optical imagecapturing system at the same time, it is particularly necessary tocontrol the proportional relation (ED/IN) of the horizontal distance(ED) between the two adjacent lens elements at height of ½ entrancepupil diameter (HEP) to the horizontal distance (IN) between the twoadjacent lens elements on the optical axis. For example, the horizontaldistance between the first lens element and the second lens element atheight of ½ entrance pupil diameter (HEP) is denoted by ED12. Thehorizontal distance between the first lens element and the second lenselement on the optical axis is IN12. The ratio between both of them isED12/IN12. The horizontal distance between the second lens element andthe third lens element at height of ½ entrance pupil diameter (HEP) isdenoted by ED23. The horizontal distance between the second lens elementand the third lens element on the optical axis is IN23. The ratiobetween both of them is ED23/IN23. The proportional relations of thehorizontal distances between other two adjacent lens elements in theoptical image capturing system at height of ½ entrance pupil diameter(HEP) to the horizontal distances between the two adjacent lens elementson the optical axis are denoted in the similar way.

The horizontal distance paralleling the optical axis from a coordinatepoint on the image-side surface of the fourth lens element at the heightof ½ HEP to the first image plane is EBL. The horizontal distanceparalleling the optical axis from the axial point on the image-sidesurface of the fourth lens element to the first image plane is BL. Inorder to enhance the ability of aberration correction and reserveaccommodation space for other optical elements, the embodiment of thepresent disclosure may satisfy the following conditions: 0.2≤EBL/BL≤1.1.The optical image capturing system may further include a light filteringelement. The light filtering element is located between the fourth lenselement and the first image plane. A distance paralleling the opticalaxis from a coordinate point on the image-side surface of the fourthlens element at height of ½ HEP to the light filtering element is EIR. Adistance paralleling the optical axis from an axial point on theimage-side surface of the fourth lens element to the light filteringelement is PIR. The embodiments of the present disclosure may satisfythe following condition: 0.2≤EIR/PIR≤0.8.

The optical image capturing system described above may be configured toform the image on the image sensing device which is shorter than 1/1.2inch in diagonal length. The pixel size of the image sensing device issmaller than 1.4 micrometers (μm). Preferably the pixel size thereof issmaller than 1.12 micrometers (μm). The best pixel size thereof issmaller than 0.9 micrometers (μm). Furthermore, the optical imagecapturing system is applicable to the image sensing device with aspectratio of 16:9.

The optical image capturing system described above is applicable to thedemand of video recording with above millions or ten millions-pixels(e.g. 4K and 2K videos or the so-called UHD and QHD) and leads to a goodimaging quality.

The height of optical system (HOS) may be reduced to achieve theminimization of the optical image capturing system when the absolutevalue of f1 is larger than that of f4 (|f1|>f4).

When the condition |f2|+|f3|>|f1|+|f4| is satisfied, at least one of thesecond through third lens elements may have weak positive refractivepower or weak negative refractive power. The weak refractive powerindicates that an absolute value of the focal length of a specific lenselement is greater than 10. When at least one of the second throughthird lens elements has the weak positive refractive power, the positiverefractive power of the first lens element can be shared, such that theunnecessary aberration will not appear too early. On the contrary, whenat least one of the second and third lens elements has the weak negativerefractive power, the aberration of the optical image capturing systemcan be corrected and fine-tuned.

The fourth lens element may have positive refractive power. Besides, atleast one surface of the fourth lens element may possess at least oneinflection point, which is capable of effectively reducing the incidentangle of the off-axis rays, thereby further correcting the off-axisaberration.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the presentdisclosure will now be described in more details hereinafter withreference to the accompanying drawings that show various embodiments ofthe present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing systemaccording to the first embodiment of the present disclosure.

FIG. 1B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the firstembodiment of the present disclosure.

FIG. 1C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thefirst embodiment of the present disclosure.

FIG. 1D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the first embodiment of the present disclosure.

FIG. 1E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the first embodiment of the present disclosure.

FIG. 2A is a schematic view of the optical image capturing systemaccording to the second embodiment of the present disclosure.

FIG. 2B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the secondembodiment of the present disclosure.

FIG. 2C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thesecond embodiment of the present disclosure.

FIG. 2D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the second embodiment of the present disclosure.

FIG. 2E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the second embodiment of the presentdisclosure.

FIG. 3A is a schematic view of the optical image capturing systemaccording to the third embodiment of the present disclosure.

FIG. 3B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the thirdembodiment of the present disclosure.

FIG. 3C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thethird embodiment of the present disclosure.

FIG. 3D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the third embodiment of the present disclosure.

FIG. 3E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the third embodiment of the present disclosure.

FIG. 4A is a schematic view of the optical image capturing systemaccording to the fourth embodiment of the present disclosure.

FIG. 4B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the fourthembodiment of the present disclosure.

FIG. 4C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thefourth embodiment of the present disclosure.

FIG. 4D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the fourth embodiment of the present disclosure.

FIG. 4E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the fourth embodiment of the presentdisclosure.

FIG. 5A is a schematic view of the optical image capturing systemaccording to the fifth embodiment of the present disclosure.

FIG. 5B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the fifthembodiment of the present disclosure.

FIG. 5C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thefifth embodiment of the present disclosure.

FIG. 5D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the fifth embodiment of the present disclosure.

FIG. 5E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the fifth embodiment of the present disclosure.

FIG. 6A is a schematic view of the optical image capturing systemaccording to the sixth embodiment of the present disclosure.

FIG. 6B shows the longitudinal spherical aberration curves, astigmaticfield curves, and optical distortion curve of the optical imagecapturing system in the order from left to right according to the sixthembodiment of the present disclosure.

FIG. 6C is a characteristic diagram of modulation transfer of visiblelight spectrum for the optical image capturing system according to thesixth embodiment of the present disclosure.

FIG. 6D is a diagram showing the through-focus MTF values of the visiblelight spectrum at the central field of view, 0.3 field of view, and 0.7field of view of the sixth embodiment of the present disclosure.

FIG. 6E is a diagram showing the through-focus MTF values of theinfrared light spectrum at the central field of view, 0.3 field of view,and 0.7 field of view of the sixth embodiment of the present disclosure.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

The present disclosure has been described with some preferredembodiments thereof and it is understood that many changes andmodifications in the described embodiments can be carried out withoutdeparting from the scope and the spirit of the disclosure that isintended to be limited only by the appended claims.

An optical image capturing system, in the order from an object side toan image side, includes a first, second, third and fourth lens elementswith refractive powers. The optical image capturing system may furtherinclude an image sensing device, which is disposed on an image plane.

The optical image capturing system may use three sets of operationwavelengths, which are 486.1 nm, 587.5 nm and 656.2 nm, respectively,and 587.5 nm is served as the primary reference wavelength and areference wavelength to obtain technical features of the optical system.The optical image capturing system may also use five sets of wavelengthswhich are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, and555 nm is served as the primary reference wavelength and a referencewavelength to obtain technical features of the optical system.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each lens element with positive refractive power isPPR. A ratio of the focal length f of the optical image capturing systemto a focal length fn of each lens element with negative refractive poweris NPR. A sum of the PPR of all lens elements with positive refractivepowers is ΣPPR. A sum of the NPR of all lens elements with negativerefractive powers is ΣNPR. The total refractive power and the totallength of the optical image capturing system can be controlled easilywhen following conditions are satisfied: 0.5≤ΣPPR/|ΣNPR|≤4.5.Preferably, the following condition may be satisfied:0.9≤ΣPPR/|ΣNPR|≤3.5.

The height of the optical image capturing system is HOS. When the valueof the ratio, i.e. HOS/f approaches 1, it would be easier to manufacturethe miniaturized optical image capturing system capable of ultra-highpixel image formation.

The sum of a focal length fp of each lens element with positiverefractive power is ΣPP. A sum of a focal length fn of each lens elementwith negative refractive power is ΣNP. In one embodiment of the opticalimage capturing system of the present disclosure, the followingconditions are satisfied: 0<ΣPP≤200 and f4/ΣPP≤0.85. Preferably, thefollowing conditions may be satisfied: 0<ΣPP≤150 and 0.01≤f4/ΣPP≤0.7. Asa result, the optical image capturing system will have better controlover the focusing, and the positive refractive power of the opticalsystem can be distributed appropriately, so as to suppress any prematureformation of noticeable aberration.

The optical image capturing system may further include an image sensingdevice which is disposed on an image plane. Half of a diagonal of aneffective detection field of the image sensing device (imaging height orthe maximum image height of the optical image capturing system) is HOI.A distance on the optical axis from the object-side surface of the firstlens element to the image plane is HOS. The following conditions aresatisfied: HOS/HOI≤15 and 0.5≤HOS/f≤20.0. Preferably, the followingconditions may be satisfied: 1≤HOS/HOI≤10 and 1≤HOS/f≤15. With thisconfiguration, the size of the optical image capturing system can bekept small, such that a lightweight electronic product is able toaccommodate it.

In addition, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperturestop may be a front or middle aperture. The front aperture is theaperture stop between a photographed object and the first lens element.The middle aperture is the aperture stop between the first lens elementand the image plane. If the aperture stop is the front aperture, alonger distance between the exit pupil and the image plane of theoptical image capturing system can be formed, such that more opticalelements can be disposed in the optical image capturing system and theefficiency of the image sensing device in receiving image can beimproved. If the aperture stop is the middle aperture, the angle of viewof the optical image capturing system can be expended, such that theoptical image capturing system has the same advantage that is owned bywide angle cameras. A distance from the aperture stop to the image planeis InS. The following condition is satisfied: 0.2≤InS/HOS≤1.1.Preferably, the following condition may be satisfied: 0.4≤InS/HOS≤1.Hereby, the size of the optical image capturing system can be kept smallwithout sacrificing the feature of wide angle of view.

In the optical image capturing system of the disclosure, a distance fromthe object-side surface of the first lens element to the image-sidesurface of the fourth lens element is InTL. The sum of centralthicknesses of all lens elements with refractive power on the opticalaxis is ETP. The following condition is satisfied: 0.2≤ΣTP/InTL≤0.95.Preferably, the following condition may be satisfied: 0.2≤ΣTP/InTL≤0.9.Hereby, the contrast ratio for the image formation in the optical imagecapturing system can be improved without sacrificing the yield rate formanufacturing the lens element, and a proper back focal length isprovided to accommodate other optical components in the optical imagecapturing system.

The curvature radius of the object-side surface of the first lenselement is R1. The curvature radius of the image-side surface of thefirst lens element is R2. The following condition is satisfied:0.01≤|R1/R2|≤100. Preferably, the following condition may be satisfied:0.01≤|R1/R2|≤60.

The curvature radius of the object-side surface of the fourth lenselement is R9. The curvature radius of the image-side surface of thefourth lens element is R10. The following condition is satisfied:−200<(R7−R8)/(R7+R8)<30. This configuration is beneficial to thecorrection of the astigmatism generated by the optical image capturingsystem.

The distance between the first lens element and the second lens elementon the optical axis is IN12. The following condition is satisfied:0<IN12/f≤5.0. Preferably, the following condition may be satisfied:0.01≤IN12/f≤4.0. Hereby, the chromatic aberration of the lens elementscan be mitigated, such that their performance is improved.

The distance between the second lens element and the third lens elementon the optical axis is IN23. The following condition is satisfied:0<IN23/f≤5.0. Preferably, the following condition may be satisfied:0.01≤IN23/f≤3.0. Hereby, the performance of the lens elements can beimproved.

The distance between the third lens element and the fourth lens elementon the optical axis is IN34. The following condition is satisfied:0<IN34/f≤5.0. Preferably, the following condition may be satisfied:0.001≤IN34/f≤3.0. Hereby, the performance of the lens elements can beimproved.

Central thicknesses of the first lens element and the second lenselement on the optical axis are TP1 and TP2, respectively. The followingcondition is satisfied: 1≤(TP1+IN12)/TP2≤20. Hereby, the sensitivity ofthe optical image capturing system can be controlled, and itsperformance can be improved.

Central thicknesses of the third lens element and the fourth lenselement on the optical axis are TP3 and TP4, respectively, and adistance between the aforementioned two lens elements on the opticalaxis is IN34. The following condition is satisfied:0.2≤(TP4+IN34)/TP4≤20. Hereby, the sensitivity produced by the opticalimage capturing system can be controlled and the total height of theoptical image capturing system can be reduced.

The distance between the second lens element and the third lens elementon the optical axis is IN23. The total sum of distances from the firstlens element to the fourth lens element on the optical axis is ETP. Thefollowing condition is satisfied: 0.01≤IN23/(TP2+IN23+TP3)≤0.9.Preferably, the following condition may be satisfied:0.05≤IN23/(TP2+IN23+TP3)≤0.7. Hereby, the aberration generated when theincident light is travelling inside the optical system can be correctedslightly layer upon layer, and the total height of the optical imagecapturing system can be reduced.

In the optical image capturing system of the disclosure, a distanceparalleling an optical axis from a maximum effective diameter positionto an axial point on the object-side surface 142 of the fourth lenselement is InRS41 (InRS41 is positive if the horizontal displacement istoward the image-side surface, or InRS41 is negative if the horizontaldisplacement is toward the object-side surface). A distance parallelingan optical axis from a maximum effective diameter position to an axialpoint on the image-side surface 144 of the fourth lens element isInRS42. A central thickness of the fourth lens element 140 on theoptical axis is TP4. The following conditions are satisfied: −1mm≤InRS41≤1 mm, −1 mm≤InRS42≤1 mm, 1 mm≤|InRS41|+|InRS42|≤2 mm,0.01≤|InRS41|/TP4≤10 and 0.01≤|InRS42|/TP4≤10. Hereby, the maximumeffective diameter position between both surfaces of the fourth lenselement can be controlled, so as to facilitate the aberration correctionof peripheral field of view of the optical image capturing system andmaintain its miniaturization effectively.

In the optical image capturing system of the disclosure, a distanceparalleling an optical axis from an inflection point on the object-sidesurface of the fourth lens element which is nearest to the optical axisto an axial point on the object-side surface of the fourth lens elementis denoted by SGI411. A distance paralleling an optical axis from aninflection point on the image-side surface of the fourth lens elementwhich is nearest to the optical axis to an axial point on the image-sidesurface of the fourth lens element is denoted by SGI421. The followingconditions are satisfied: 0<SGI411/(SGI411+TP4)≤0.9 and0<SGI421/(SGI421+TP4)≤0.9. Preferably, the following conditions may besatisfied: 0.01<SGI411/(SGI411+TP4)≤0.7 and0.01<SGI421/(SGI421+TP4)≤0.7.

A distance paralleling the optical axis from the inflection point on theobject-side surface of the fourth lens element which is the secondnearest to the optical axis to an axial point on the object-side surfaceof the fourth lens element is denoted by SGI412. A distance parallelingan optical axis from an inflection point on the image-side surface ofthe fourth lens element which is the second nearest to the optical axisto an axial point on the image-side surface of the fourth lens elementis denoted by SGI422. The following conditions are satisfied:0<SGI412/(SGI412+TP4)≤0.9 and 0<SGI422/(SGI422+TP4)≤0.9. Preferably, thefollowing conditions may be satisfied: 0.1≤SGI412/(SGI412+TP4)≤0.8 and0.1≤SGI422/(SGI422+TP4)≤0.8.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which isnearest to the optical axis and the optical axis is denoted by HIF411. Adistance perpendicular to the optical axis between an inflection pointon the image-side surface of the fourth lens element which is nearest tothe optical axis and an axial point on the image-side surface of thefourth lens element is denoted by HIF421. The following conditions aresatisfied: 0.01≤HIF411/HOI≤0.9 and 0.01≤HIF421/HOI≤0.9. Preferably, thefollowing conditions may be satisfied: 0.09≤HIF411/HOI≤0.5 and0.09≤HIF421/HOI≤0.5.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thesecond nearest to the optical axis and the optical axis is denoted byHIF412. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the second nearest to the optical axis is denoted by HIF422.The following conditions are satisfied: 0.01≤HIF412/HOI≤0.9 and0.01≤HIF422/HOI≤0.9. Preferably, the following conditions may besatisfied: 0.09≤HIF412/HOI≤0.8 and 0.09≤HIF422/HOI≤0.8.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thethird nearest to the optical axis and the optical axis is denoted byHIF413. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the third nearest to the optical axis is denoted by HIF423. Thefollowing conditions are satisfied: 0.001 mm≤|HIF413|≤5 mm and 0.001mm≤|HIF423|≤5 mm. Preferably, the following conditions may be satisfied:0.1 mm≤|HIF423|≤3.5 mm and 0.1 mm≤|HIF413|≤3.5 mm.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thefourth nearest to the optical axis and the optical axis is denoted byHIF414. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the fourth lens element and aninflection point on the image-side surface of the fourth lens elementwhich is the fourth nearest to the optical axis is denoted by HIF424.The following conditions are satisfied: 0.001 mm≤|HIF414|≤5 mm and 0.001mm≤|HIF424|≤5 mm. Preferably, the following conditions may be satisfied:0.1 mm≤|HIF424|≤3.5 mm and 0.1 mm≤|HIF414|≤3.5 mm.

In one embodiment of the optical image capturing system of the presentdisclosure, the chromatic aberration of the optical image capturingsystem can be corrected by alternatively arranging the lens elementswith large Abbe number and small Abbe number.

The equation for the aforementioned aspheric surface is:z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5) ]+A ₄ h ⁴ +A ₆ h ⁶ +A ₈ h ⁸ +A ₁₀ h ¹⁰+A ₁₂ h ¹² +A ₁₄ h ¹⁴ +A ₁₆ h ¹⁶ +A ₁₈ h ¹⁸ +A ₂₀ h ²⁰+ . . .  (1),where z is a position value of the position along the optical axis andat the height h which reference to the surface apex; k is the coniccoefficient, c is the reciprocal of curvature radius, and A₄, A₆, A₈,A₁₀, A₁₂, A₁₄, A₁₆, A₁₈, and A₂₀ are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lenselements may be made of glass or plastic material. If plastic materialis adopted to produce the lens elements, the cost of manufacturing aswell as the weight of the lens element can be reduced effectively. Iflens elements are made of glass, the heat effect can be controlled, andthere will be more options to allocation the refractive powers of thelens elements in the optical image capturing system. Besides, theobject-side surface and the image-side surface of the first throughfourth lens elements may be aspheric, which provides more controlvariables, such that the number of lens elements used can be reduced incontrast to traditional glass lens element, and the aberration can bereduced too. Thus, the total height of the optical image capturingsystem can be reduced effectively.

In addition, in the optical image capturing system provided by thedisclosure, if the lens element has a convex surface, the surface of thelens element adjacent to the optical axis is convex. If the lens elementhas a concave surface, the surface of the lens element adjacent to theoptical axis is concave.

Besides, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

The optical image capturing system of the disclosure can be adapted tothe optical image capturing system with automatic focus if required.With the features of a good aberration correction and a high quality ofimage formation, the optical image capturing system can be used invarious applications.

The optical image capturing system of the disclosure can include adriving module according to the actual requirements. The driving modulemay be coupled with the lens elements and enables the movement of thelens elements. The driving module described above may be the voice coilmotor (VCM) which is applied to move the lens to focus, or may be theoptical image stabilization (OIS) which is applied to reduce thefrequency the optical system is out of focus owing to the vibration ofthe lens during photo or video shooting.

At least one lens element among the first lens element, the second lenselement, the third lens element and the fourth lens element of theoptical image capturing system of the present disclosure may be a lightfiltering element which has a wavelength less than 500 nm according tothe actual requirements. The light filtering element may be made bycoating film on at least one surface of that lens element with certainfiltering function, or forming the lens element with material that canfilter light with short wavelength.

According to the above embodiments, the specific embodiments withfigures are presented in detail as below.

The First Embodiment

Please refer to FIGS. 1A to 1E. FIG. 1A is a schematic view of theoptical image capturing system according to the first embodiment of thepresent disclosure. FIG. 1B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system in the order from left to right accordingto the first embodiment of the present disclosure. FIG. 1C is acharacteristic diagram of modulation transfer of visible light for theoptical image capturing system of the first embodiment of the presentdisclosure. FIG. 1D is a diagram showing the through-focus MTF values ofthe visible light spectrum at the central field of view, 0.3 field ofview, and 0.7 field of view of the first embodiment of the presentdisclosure. FIG. 1E is a diagram showing the through-focus MTF values ofthe infrared light spectrum at the central field of view, 0.3 field ofview, and 0.7 field of view of the first embodiment of the presentdisclosure. As shown in FIG. 1A, in the order from an object side to animage side, the optical image capturing system includes a first lenselement 110, a second lens element 120, an aperture stop 100, a thirdlens element 130, a fourth lens element 140, an IR-bandstop filter 170,an image plane 180, and an image sensing device 190.

The first lens element 110 has negative refractive power and it is madeof glass material. The first lens element 110 has a convex object-sidesurface 112 and a concave image-side surface 114, and both of theobject-side surface 112 and the image-side surface 114 are aspheric. Thecentral thickness of the first lens element on the optical axis is TP1while the thickness of the first lens element, paralleling the opticalaxis, and at height of ½ entrance pupil diameter (HEP) is ETP1.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the first lens element which is nearest to theoptical axis to an axial point on the object-side surface of the firstlens element is denoted by SGI111. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the firstlens element which is nearest to the optical axis to an axial point onthe image-side surface of the first lens element is denoted by SGI121.The following conditions are satisfied: SGI111=0 mm, SGI121=0 mm,|SGI111|/(|SGI111|+TP1)=0 and |SGI121|/(|SGI121|+TP1)=0.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the first lens element which is nearest tothe optical axis to an axial point on the object-side surface of thefirst lens element is denoted by HIF111. A distance perpendicular to theoptical axis from the inflection point on the image-side surface of thefirst lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the first lens element is denoted byHIF121. The following conditions are satisfied: HIF111=0 mm, HIF121=0mm, HIF111/HOI=0 and HIF121/HOI=0.

The second lens element 120 has positive refractive power and it is madeof plastic material. The second lens element 120 has a concaveobject-side surface 122 and a convex image-side surface 124, and both ofthe object-side surface 122 and the image-side surface 124 are aspheric.The object-side surface 122 thereof has an inflection point. The centralthickness of the second lens element on the optical axis is TP2 whilethe thickness paralleling the optical axis of the second lens element atthe height of ½ entrance pupil diameter (HEP) is ETP2.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the second lens element which is nearest to theoptical axis to an axial point on the object-side surface of the secondlens element is denoted by SGI211. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the secondlens element which is nearest to the optical axis to an axial point onthe image-side surface of the second lens element is denoted by SGI221.The following conditions are satisfied: SGI211=−0.13283 mm andSGI211|/(|SGI211|+TP2)=0.05045.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the second lens element which is nearestto the optical axis to an axial point on the object-side surface of thesecond lens element is denoted by HIF211. A distance perpendicular tothe optical axis from the inflection point on the image-side surface ofthe second lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted byHIF221. The following conditions are satisfied: HIF211=2.10379 mm andHIF211/HOI=0.69478.

The third lens element 130 has negative refractive power and it is madeof plastic material. The third lens element 130 has a concaveobject-side surface 132 and a concave image-side surface 134, and bothof the object-side surface 132 and the image-side surface 134 areaspheric. The image-side surface 134 thereof has an inflection point.The central thickness of the third lens element on the optical axis isTP3 while the thickness paralleling the optical axis of the third lenselement at height of ½ entrance pupil diameter (HEP) is ETP3.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the third lens element which is nearest to theoptical axis to an axial point on the object-side surface of the thirdlens element is denoted by SGI311. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the thirdlens element which is nearest to the optical axis to an axial point onthe image-side surface of the third lens element is denoted by SGI321.The following relationship are satisfied: SGI321=0.01218 mm, and|SGI321|/(|SGI321|+TP3)=0.03902.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the third lens element which isnearest to the optical axis and the optical axis is denoted by HIF311. Adistance perpendicular to the optical axis from the inflection point onthe image-side surface of the third lens element which is nearest to theoptical axis to an axial point on the image-side surface of the thirdlens element is denoted by HIF321. The following conditions aresatisfied: HIF321=0.84373 mm and HIF321/HOI=0.27864.

The fourth lens element 140 has positive refractive power and it is madeof plastic material. The fourth lens element 140 has a convexobject-side surface 142 and a convex image-side surface 144; both of theobject-side surface 142 and the image-side surface 144 are aspheric. Theimage-side surface 144 thereof has one inflection point. The centralthickness of the fourth lens element on the optical axis is TP4 whilethe thickness paralleling the optical axis of the fourth lens element atthe height of ½ entrance pupil diameter (HEP) is ETP4.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the fourth lens element which is nearest to theoptical axis to an axial point on the object-side surface of the fourthlens element is denoted by SGI411. A distance paralleling an opticalaxis from an inflection point on the image-side surface of the fourthlens element which is nearest to the optical axis to an axial point onthe image-side surface of the fourth lens element is denoted by SGI421.The following conditions are satisfied: SGI411=0 mm, SGI421=−0.41627 mm,|SGI411|/(|SGI411|+TP4)=0, and |SGI421|/(|SGI421|+TP4)=0.25015.

A distance paralleling an optical axis from an inflection point on theobject-side surface of the fourth lens element which is the secondnearest to the optical axis to an axial point on the object-side surfaceof the fourth lens element is denoted by SGI412. The followingconditions are satisfied: SGI412=0 mm and |SGI412|/(|SGI412|+TP4)=0.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which isnearest to the optical axis and the optical axis is denoted by HIF411. Adistance perpendicular to the optical axis between the inflection pointon the image-side surface of the fourth lens element which is nearest tothe optical axis and the optical axis is denoted by HIF421. Thefollowing conditions are satisfied: HIF411=0 mm, HIF421=1.55079 mm,HIF411/HOI=0, and HIF421/HOI=0.51215.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which issecond nearest to the optical axis and the optical axis is denoted byHIF412. The following conditions are satisfied: HIF412=0 mm andHIF412/HOI=0.

The horizontal distance paralleling the optical axis from a coordinatepoint on the object-side surface of the first lens element at the heightof ½ HEP to the image plane is ETL. The horizontal distance parallelingthe optical axis from a coordinate point on the object-side surface ofthe first lens element at the height of ½ HEP to a coordinate point onthe image-side surface of the fourth lens element at the height of ½ HEPis EIN. The following conditions are satisfied: ETL=18.744 mm,EIN=12.339 mm, and EIN/ETL=0.658.

The present embodiment satisfies the following conditions: ETP1=0.949mm, ETP2=2.483 mm, ETP3=0.345 mm, and ETP4=1.168 mm; the sum of theaforementioned values ETP1 to ETP4 is SETP, and SETP=4.945 mm. Thefollowing conditions are also satisfied: TP1=0.918 mm, TP2=2.500 mm,TP3=0.300 mm, and TP4=1.248 mm; the sum of the aforementioned values TP1to TP4 is STP, and STP=4.966 mm, so SETP/STP=0.996.

In the present embodiment, the ratio (ETP/TP) of the thickness (ETP) ofeach lens element at the height of ½ entrance pupil diameter (HEP) tothe central thickness (TP) of that lens element on the optical axis isspecifically manipulated, in order to achieve a balance between the easeof manufacturing the lens elements and its capability to correctaberration. The following conditions are satisfied: ETP1/TP1=1.034,ETP2/TP2=0.993, ETP3/TP3=1.148, and ETP4/TP4=0.936.

In the present embodiment, the horizontal distance between each pair ofadjacent lens elements at the height of ½ entrance pupil diameter (HEP)is manipulated as well, in order to achieve a balance among the degreeof “miniaturization” for the length of the optical image capturingsystem HOS, the ease of manufacturing the lens elements, and itscapability of aberration correction. In particular, the ratio (ED/IN) ofthe horizontal distance (ED) between the pair of adjacent lens elementsat the height of ½ entrance pupil diameter (HEP) to the horizontaldistance (IN) between the pair of adjacent lens elements on the opticalaxis is controlled. The following conditions are satisfied: thehorizontal distance paralleling the optical axis between the first andsecond lens elements at the height of ½ HEP is ED12, and ED12=4.529 mm;the horizontal distance paralleling the optical axis between the secondand third lens elements at the height of ½ HEP is ED23, and ED23=2.735mm; the horizontal distance paralleling the optical axis between thethird and fourth lens elements at the height of ½ HEP is ED34, andED34=0.131 mm.

The horizontal distance between the first and second lens elements onthe optical axis is denoted by IN12, where IN12=4.571 mm andED12/IN12=0.991. The horizontal distance between the second and thirdlens elements on the optical axis is denoted by IN23, where IN23=2.752mm and ED23/IN23=0.994. The horizontal distance between the third andfourth lens elements on the optical axis is denoted by IN34, whereIN34=0.094 mm and ED34/IN34=1.387.

The horizontal distance paralleling the optical axis from a coordinatepoint on the image-side surface of the fourth lens element at the heightof ½ HEP to the image plane is denoted by EBL, and EBL=6.405 mm. Thehorizontal distance paralleling the optical axis from the axial point onthe image-side surface of the fourth lens element to the image plane isBL, and BL=6.3642 mm. The embodiment of the present disclosure maysatisfy the following condition: EBL/BL=1.00641. In the presentdisclosure, the distance paralleling the optical axis from a coordinatepoint on the image-side surface of the fourth lens element at the heightof ½ HEP to the IR-bandstop filter is EIR, and EIR=0.065 mm. Thedistance paralleling the optical axis from the axial point on theimage-side surface of the fourth lens element to the IR-bandstop filteris denoted by PIR, and PIR=0.025 mm. The following condition issatisfied: EIR/PIR=2.631.

The IR-bandstop filter 170 is made of glass material and is disposedbetween the fourth lens element 140 and the image plane 180. TheIR-bandstop filter 170 does not affect the focal length of the opticalimage capturing system.

In the optical image capturing system of the first embodiment, a focallength of the optical image capturing system is f, an entrance pupildiameter of the optical image capturing system is HEP, and half of amaximal view angle of the optical image capturing system is HAF. Thedetailed parameters are shown as below: f=2.6841 mm, f/HEP=2.7959,HAF=70 deg, and tan(HAF)=2.7475.

In the optical image capturing system of the first embodiment, a focallength of the first lens element 110 is f1 and a focal length of thefourth lens element 140 is f4. The following conditions are satisfied:f1=−5.4534 mm, |f/f1|=0.4922, f4=2.7595 mm, and |f1/f4|=1.9762.

In the optical image capturing system of the first embodiment, a focallength of the second lens element 120 is f2 and a focal length of thethird lens element 130 is f3. The following conditions are satisfied:|f2|+|f3|=13.2561 mm, |f1|+|f4|=8.2129 mm, and |f2|+|f3|>|f1|+|f4|.

The ratio of the focal length f of the optical image capturing system toa focal length fp of each of lens elements with positive refractivepowers is PPR. The ratio of the focal length f of the optical imagecapturing system to a focal length fn of each of lens elements withnegative refractive powers is NPR. In the optical image capturing systemof the first embodiment, a sum of the PPR of all lens elements withpositive refractive powers is ΣPPR=|f/f2|+|f/f4|=1.25394. The sum of theNPR of all lens elements with negative refractive powers isΣNPR=|f/f1|+|f/f2|=1.21490 and ΣPPR/|ΣENPR|=1.03213. The followingconditions are also satisfied: |f/f1|=0.49218, |f/f2|=0.28128,|f/f3|=0.72273, and |f/f4|=0.97267.

In the optical image capturing system of the first embodiment, adistance from the object-side surface 112 of the first lens element tothe image-side surface 144 of the fourth lens element is InTL. Adistance from the object-side surface 112 of the first lens element tothe image plane 180 is HOS. A distance from an aperture 100 to an imageplane 180 is InS. Half of a diagonal length of an effective detectionfield of the image sensing device 190 is HOI. A distance from theimage-side surface 144 of the fourth lens element to an image plane 180is InB. The following conditions are satisfied: InTL+InB=HOS,HOS=18.74760 mm, HOI=3.088 mm, HOS/HOI=6.19141, HOS/f=6.9848,InTL/HOS=0.6605, InS=8.2310 mm, and InS/HOS=0.4390.

In the optical image capturing system of the first embodiment, the sumof central thicknesses of all lens elements with refractive power on theoptical axis is ΣTP. The following conditions are satisfied: ΣTP=4.9656mm and ΣTP/InTL=0.4010. Therefore, both contrast ratio for the imageformation in the optical image capturing system and yield rate of themanufacturing process of the lens element can be balanced, and a properback focal length is provided to accommodate other optical components inthe optical image capturing system.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 112 of the first lenselement is R1. A curvature radius of the image-side surface 114 of thefirst lens element is R2. The following condition is satisfied:|R1/R2|=9.6100. Hereby, the first lens element has a suitable magnitudeof the positive refractive power, so as to prevent the sphericalaberration from increasing too fast.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 142 of the fourth lenselement is R7. A curvature radius of the image-side surface 144 of thefourth lens element is R8. The following condition is satisfied:(R7−R8)/(R7+R8)=−35.5932. As such, the astigmatism generated by theoptical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, the sumof the focal lengths for all lens elements having positive refractivepower is ΣPP, which satisfies the following conditions: ΣPP=12.30183 mm,and f4/ΣPP=0.22432. Therefore, the positive refractive power of thefourth lens element 140 may be distributed to other lens elements withpositive refractive power appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the first embodiment, the sumof the focal lengths for all lens elements having negative refractivepower is ΣNP, which satisfies the following conditions: ΣNP=−14.6405 mm,and f1/ΣNP=0.59488. Therefore, the negative refractive power of thefirst lens element 110 may be distributed to other lens elements withnegative refractive power appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the first embodiment, adistance between the first lens element 110 and the second lens element120 on the optical axis is IN12. The following conditions are satisfied:IN12=4.5709 mm, and IN12/f=1.70299. Hereby, the chromatic aberration ofthe lens elements can be mitigated, such that the performance of theoptical system is increased.

In the optical image capturing system of the first embodiment, adistance between the second lens element 120 and the third lens element130 on the optical axis is IN23. The following conditions are satisfied:IN23=2.7524 mm, IN23/f=1.02548. Hereby, the chromatic aberration of thelens elements can be mitigated, such that the performance of the opticalsystem is increased.

In the optical image capturing system of the first embodiment, adistance between the third lens element 130 and the fourth lens element140 on the optical axis is IN34. The following conditions are satisfied:IN34=0.0944 mm and IN34/f=0.03517. Hereby, the chromatic aberration ofthe lens elements can be mitigated, such that the performance of theoptical system is increased.

In the optical image capturing system of the first embodiment, centralthicknesses of the first lens element 110 and the second lens element120 on the optical axis are TP1 and TP2, respectively. The followingconditions are satisfied: TP1=0.9179 mm, TP2=2.5000 mm, TP1/TP2=0.36715,and (TP1+IN12)/TP2=2.19552. Hereby, the sensitivity of the optical imagecapturing system can be controlled, and the performance thereof can beimproved.

In the optical image capturing system of the first embodiment, centralthicknesses of the third lens element 130 and the fourth lens element140 on the optical axis are TP3 and TP4, respectively. The separationdistance between the third lens element 130 and the fourth lens element140 on the optical axis is IN34. The following conditions are satisfied:TP3=0.3 mm, TP4=1.2478 mm, TP3/TP4=0.24043, and (TP4+IN34)/TP3=4.47393.Hereby, the sensitivity of the optical image capturing system can becontrolled, and the total height of the optical image capturing systemcan be reduced.

In the optical image capturing system of the first embodiment, thefollowing conditions are satisfied: IN23/(TP2+IN23+TP3)=0.49572. Hereby,the aberration generated when the incident light is propagating insidethe optical system can be corrected slightly by each lens element, andthe total height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, adistance paralleling an optical axis from a maximum effective diameterposition to an axial point on the object-side surface 142 of the fourthlens element is InRS41. A distance paralleling an optical axis from amaximum effective diameter position to an axial point on the image-sidesurface 144 of the fourth lens element is InRS42. A central thickness ofthe fourth lens element 140 is TP4. The following conditions aresatisfied: InRS41=0.2955 mm, InRS42=−0.4940 mm, |InRS41|+|InRS42|=0.7894mm, |InRS41|/TP4=0.23679, and |InRS42|/TP4=0.39590. This configurationis favorable to the manufacturing and forming of lens elements, as wellas the minimization of the optical image capturing system.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C41on the object-side surface 142 of the fourth lens element and theoptical axis is HVT41. A distance perpendicular to the optical axisbetween a critical point C42 on the image-side surface 144 of the fourthlens element and the optical axis is HVT42. The following conditions aresatisfied: HVT41=0 mm and HVT42=0 mm.

In the optical image capturing system of the first embodiment, thefollowing condition is satisfied: HVT42/HOI=0.

In the optical image capturing system of the first embodiment, thefollowing condition is satisfied: HVT42/HOS=0.

In the optical image capturing system of the first embodiment, the Abbenumber of the first lens element is NA1. The Abbe number of the secondlens element is NA2. The Abbe number of the third lens element is NA3.The Abbe number of the fourth lens element is NA4. The followingconditions are satisfied: |NA1−NA2|=0.0351. Hereby, the chromaticaberration of the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, TVdistortion and optical distortion for image formation in the opticalimage capturing system are TDT and ODT, respectively. The followingconditions are satisfied: TDT=37.4846% and ODT=−55.3331%

In the present embodiment, the lights of any field of view can befurther divided into sagittal ray and tangential ray, and the spatialfrequency of 220 cycles/mm serves as the benchmark for assessing thefocus shifts and the values of MTF. The focus shifts where thethrough-focus MTF values of the visible sagittal ray at the centralfield of view, 0.3 field of view, and 0.7 field of view of the opticalimage capturing system are at their respective maxima are denoted byVSFS0, VSFS3, and VSFS7 (unit of measurement: mm), respectively. Thevalues of VSFS0, VSFS3, and VSFS7 equal to 0.00000 mm, 0.00000 mm, and0.00000 mm, respectively. The maximum values of the through-focus MTF ofthe visible sagittal ray at the central field of view, 0.3 field ofview, and 0.7 field of view are denoted by VSMTF0, VSMTF3, and VSMTF7,respectively. The values of VSMTF0, VSMTF3, and VSMTF7 equal to 0.416,0.397, and 0.342, respectively. The focus shifts where the through-focusMTF values of the visible tangential ray at the central field of view,0.3 field of view, and 0.7 field of view of the optical image capturingsystem are at their respective maxima, are denoted by VTFS0, VTFS3, andVTFS7 (unit of measurement: mm), respectively. The values of VTFS0,VTFS3, and VTFS7 equal to 0.00000 mm, 0.00000 mm, and −0.01000 mm,respectively. The maximum values of the through-focus MTF of the visibletangential ray at the central field of view, 0.3 field of view, and 0.7field of view are denoted by VTMTF0, VTMTF3, and VTMTF7, respectively.The values of VTMTF0, VTMTF3, and VTMTF7 equal to 0.416, 0.34, and0.139, respectively. The average focus shift (position) of both theaforementioned focus shifts of the visible sagittal ray at three fieldsof view and focus shifts of the visible tangential ray at three fieldsof view is denoted by AVFS (unit of measurement: mm), which satisfiesthe absolute value |(VSFS0+VSFS3+VSFS7+VTFS0+VTFS3+VTFS7)/6|=|−0.00200mm|.

The focus shifts where the through-focus MTF values of the infraredsagittal ray at the central field of view, 0.3 field of view, and 0.7field of view of the optical image capturing system are at theirrespective maxima, are denoted by ISFS0, ISFS3, and ISFS7 (unit ofmeasurement: mm), respectively. The values of ISFS0, ISFS3, and ISFS7equal to 0.03000 mm, 0.03300 mm, and 0.03300 mm, respectively. Theaverage focus shift (position) of the aforementioned focus shifts of theinfrared sagittal ray at three fields of view is denoted by AISFS (unitof measurement: mm). The maximum values of the through-focus MTF of theinfrared sagittal ray at the central field of view, 0.3 field of view,and 0.7 field of view are denoted by ISMTF0, ISMTF3, and ISMTF7,respectively. The values of ISMTF0, ISMTF3, and ISMTF7 equal to 0.169,0.148, and 0.089, respectively. The focus shifts where the through-focusMTF values of the infrared tangential ray at the central field of view,0.3 field of view, and 0.7 field of view of the optical image capturingsystem are at their respective maxima, are denoted by ITFS0, ITFS3, andITFS7 (unit of measurement: mm), respectively. The values of ITFS0,ITFS3, and ITFS7 equal to 0.03, 0.028, and 0.005, respectively. Theaverage focus shift (position) of the aforementioned focus shifts of theinfrared tangential ray at three fields of view is denoted by AITFS(unit of measurement: mm). The maximum values of the through-focus MTFof the infrared tangential ray at the central field of view, 0.3 fieldof view, and 0.7 field of view are denoted by ITMTF0, ITMTF3, andITMTF7, respectively. The values of ITMTF0, ITMTF3, and ITMTF7 equal to0.169, 0.093, and 0.00000, respectively. The average focus shift(position) of both of the aforementioned focus shifts of the infraredsagittal ray at the three fields of view and focus shifts of theinfrared tangential ray at the three fields of view is denoted by AIFS(unit of measurement: mm), which equals to the absolute value of|(ISFS0+ISFS3+ISFS7+ITFS0+ITFS3+ITFS7)/6|=|0.02600 mm|.

The focus shift (difference) between the focal points of the visiblelight and the infrared light at their central fields of view (RGB/IR) ofthe entire optical image capturing system (i.e. wavelength of 850 nmversus wavelength of 555 nm, unit of measurement: mm) is denoted by FS,which satisfies the absolute value|(VSFS0+VTFS0)/2−(ISFS0+ITFS0)/2|=|0.03000 mm|. The difference (focusshift) between the average focus shift of the visible light in the threefields of view and the average focus shift of the infrared light in thethree fields of view (RGB/IR) of the entire optical image capturingsystem is denoted by AFS (i.e. wavelength of 850 nm versus wavelength of555 nm, unit of measurement: mm), for which the absolute value of|AIFS−AVFS|=|0.02800 mm| is satisfied.

In the optical image capturing system of the present embodiment, themodulation transfer rates (values of MTF) of the visible light at thequarter spatial frequency (110 cycles/mm) at the positions of theoptical axis, 0.3 HOI and 0.7 HOI on the image plane are respectivelydenoted by MTFQ0, MTFQ3 and MTFQ7. The following conditions aresatisfied: MTFQ0 is about 0.65, MTFQ3 is about 0.52 and MTFQ7 is about0.42. The modulation transfer rates (values of MTF) at spatial frequencyof 55 cycles/mm at the positions of the optical axis, 0.3 HOI and 0.7HOI on the image plane are respectively denoted by MTFE0, MTFE3 andMTFE7. The following conditions are satisfied: MTFE0 is about 0.84,MTFE3 is about 0.76 and MTFE7 is about 0.69.

Table 1 and Table 2 below should be incorporated into the reference ofthe present embodiment.

TABLE 1 Lens Parameters for the First Embodiment f(focal length) =2.6841 mm; f/HEP = 2.7959; HAF(half angle of view) = 70 deg; tan(HAF) =2.7475 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Distance 0 Object Plane At infinity 1 Lens 131.98102785 0.918 Glass 1.688 50.26 −5.453 2 3.327880578 4.571 3 Lens 2−15.2556818 2.500 Plastic 1.642 22.46 9.542 4 −4.681543531 2.528 5Aperture Plane 0.225 Stop 6 Lens 3 −2.453543123 0.300 Plastic 1.64222.46 −3.714 7 127.8664454 0.094 8 Lens 4 2.697747363 1.248 Plastic1.544 56.09 2.759 9 −2.853715061 0.725 10 IR-bandstop Plane 2.000BK7_(—) 1.517 64.13 Filter SCHOTT 11 Plane 3.640 12 Image Plane PlaneReference Wavelength = 555 nm; Shield Position: The 3^(rd) surface withclear aperture of 3.0 mm

TABLE 2 Aspheric Coefficients of the First Embodiment Table 2: AsphericCoefficients Surface No. 3 4 6 7 8 9 k = −2.918829E+01 −3.214789E+00−1.504539E+01 −2.970417E+01 −1.613370E+01 −1.145951E+00 A₄ =−9.004096E−04 −9.725260E−06  8.890018E−05  3.634454E−02  9.587367E−03−4.742020E−03 A₆ =  2.391364E−04 −8.096303E−05 −1.166688E−02−3.060142E−02 −3.693991E−03  1.232422E−03 A₈ = −2.421089E−05 7.787465E−07 −5.720942E−04  8.833265E−03  8.653836E−04  3.333400E−04A₁₀ =  1.716292E−06  3.517517E−07  8.305770E−04 −1.362695E−03−7.093620E−05 −2.583094E−06 A₁₂ =  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00  0.000000E+00

Table 1 is the detailed structural data for the first embodiment in FIG.1A, where the unit for the curvature radius, the central thickness, thedistance, and the focal length is millimeters (mm). Surfaces 0-11illustrate the surfaces from the object side to the image plane in theoptical image capturing system. Table 2 shows the aspheric coefficientsof the first embodiment, where k is the conic coefficient in theaspheric surface equation, and A₁-A₂₀ are respectively the first to thetwentieth order aspheric surface coefficients. Besides, the tables inthe following embodiments correspond to their respective schematic viewsand the diagrams of aberration curves, and definitions of the parametersin these tables are similar to those in the Table 1 and the Table 2, sothe repetitive details will not be given here.

Second Embodiment

Please refer to FIGS. 2A to 2E. FIG. 2A is a schematic view of theoptical image capturing system according to the second embodiment of thepresent disclosure. FIG. 2B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system of the second embodiment, in the orderfrom left to right. FIG. 2C is a characteristic diagram of themodulation transfer of visible light for the optical image capturingsystem of the second embodiment of the present disclosure. FIG. 2D is adiagram showing the through-focus MTF values of the visible lightspectrum at the central field of view, 0.3 field of view, and 0.7 fieldof view of the second embodiment of the present disclosure. FIG. 2E is adiagram showing the through-focus MTF values of the infrared lightspectrum at the central field of view, 0.3 field of view, and 0.7 fieldof view of the second embodiment of the present disclosure. As shown inFIG. 2A, in the order from an object side to an image side, the opticalimage capturing system includes a first lens element 210, an aperturestop 200, a second lens element 220, a third lens element 230, a fourthlens element 240, an IR-bandstop filter 270, an image plane 280, and animage sensing device 290.

The first lens element 210 has negative refractive power and is made ofplastic material. The first lens element 210 has a convex object-sidesurface 212 and a concave image-side surface 214. Both object-sidesurface 212 and image-side surface 214 are aspheric and have oneinflection point.

The second lens element 220 has positive refractive power and is made ofplastic material. The second lens element 220 has a convex object-sidesurface 222 and a convex image-side surface 224, and both object-sidesurface 222 and image-side surface 224 are aspheric. The object-sidesurface 222 thereof has one inflection point.

The third lens element 230 has positive refractive power and is made ofplastic material. The third lens element 230 has a concave object-sidesurface 232 and a convex image-side surface 234, and both object-sidesurface 232 and image-side surface 234 are aspheric. Both object-sidesurface 232 and image-side surface 234 have one inflection point.

The fourth lens element 240 has negative refractive power and is made ofplastic material. The fourth lens element 240 has a convex object-sidesurface 242 and a concave image-side surface 244, and both object-sidesurface 242 and image-side surface 244 are aspheric. The object-sidesurface 242 and image-side surface 244 thereof have one inflectionpoint.

The IR-bandstop filter 270 is made of glass material and is disposedbetween the fourth lens element 240 and the image plane 280. TheIR-bandstop filter 270 does not affect the focal length of the opticalimage capturing system.

In the optical image capturing system of the second embodiment, thesecond and third lens elements are positive lens, and their focallengths are f2 and f3, respectively. The sum of the focal lengths forall lens elements having positive refractive power is ΣPP, whichsatisfies the following condition: ΣPP=f2+f3. Therefore, the positiverefractive power of a single lens element may be distributed to otherpositive lens elements appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the second embodiment, the sumof the focal lengths for all lens elements having negative refractivepower is ΣNP, which satisfies the following condition: ΣNP=f1+f4.

Table 3 and Table 4 below should be incorporated into the reference ofthe present embodiment

TABLE 3 Lens Parameters for the Second Embodiment f(focal length) =1.323 mm; f/HEP = 1.8; HAF(half angle of view) = 37.5 deg; tan(HAF) =0.7673 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Length 0 Object Plane At infinity 1 Lens 12.815155869 0.175 Plastic 1.515 56.55 −4.014 2 1.16843349 0.051 3Aperture Plane 0.066 Stop 4 Lens 2 0.599339272 0.450 Plastic 1.544 55.960.837 5 −1.411016917 0.133 6 Lens 3 −0.317760089 0.187 Plastic 1.64222.46 5.004 7 −0.356324528 0.050 8 Lens 4 1.400960481 0.238 Plastic1.642 22.46 −2.390 9 0.686143826 0.219 10 IR-bandstop Plane 0.210BK7_(—) 1.517 64.13 Filter SCHOTT 11 Plane 0.31 12 Image Plane PlaneReference Wavelength = 555 nm; Shield Position: The 1^(st) surface withclear aperture of 0.43 mm and the 5^(th) surface with clear aperture of0.390 mm

TABLE 4 The Aspheric Coefficients of the Second Embodiment Table 4:Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −2.100896E+01−3.117650E+01 −6.594072E−01 −5.749340E+00 −1.293538E+00 −1.778968E+00 A₄= −1.034815E+00 −1.247743E+00 −2.144582E+00 −5.564182E−01  5.280891E+00 7.147752E+00 A₆ = −1.467293E+01 −3.933644E+01 −2.397809E+01−5.601046E+01 −4.929357E+01 −1.152802E+02 A₈ =  4.846220E+02 1.049222E+03  1.466540E+03  7.715029E+02 −5.524670E+02  1.188148E+03A₁₀ = −7.102825E+03 −1.234792E+04 −4.393327E+04 −8.580555E+03 2.181848E+04 −6.205622E+03 A₁₂ =  5.884002E+04  5.356074E+04 7.002153E+05  6.735915E+04 −2.298819E+05  2.212051E+04 A₁₄ =−2.820526E+05  1.558329E+05 −6.248007E+06 −2.902619E+05  1.176507E+06−6.949962E+04 A₁₆ =  7.245452E+05 −2.134561E+06  2.912419E+07 5.267012E+05 −3.006163E+06  1.681686E+05 A₁₈ = −7.701193E+05 5.176547E+06 −5.535295E+07 −1.326747E+05  3.050941E+06 −1.906600E+05A₂₀ =  1.874256E+01  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 Surface No. 8 9 k = −9.958872E−02−9.720777E+00 A₄ =  2.668792E+00 −6.993487E−01 A₆ = −1.053723E+02−9.822777E+00 A₈ =  1.164018E+03  9.374187E+01 A₁₀ = −7.629138E+03−4.377047E+02 A₁₂ =  3.098893E+04  1.160682E+03 A₁₄ = −7.777603E+04−1.720966E+03 A₁₆ =  1.168351E+05  1.259258E+03 A₁₈ = −9.146103E+04−3.228384E+02 A₂₀ =  0.000000E+00  0.000000E+00

In the second embodiment, the presentation of the aspheric surfaceequation is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are similar to those inthe first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 3 and Table 4.

Second Embodiment (Primary reference wavelength = 555 nm) ETP1 ETP2 ETP3ETP4 ED12/ED23 SED 0.178  0.299  0.223  0.269  1.948  0.426  ETP1/TP1ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 1.018  0.664  1.193  1.128 0.493  0.969  ETL EBL EIN EIR PIR STP 2.085  0.691  1.395  0.171  0.219 1.050  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.669  0.695  0.777 0.9344  0.7395  0.922  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN340.167  0.086  0.174  1.428  0.645  3.473  InRS41 InRS42 HVT41 HVT42 ODT% TDT % −0.02448  −0.00545  0.30907 0.42296 1.30002 0.70606 |f/f1||f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.32944 1.58025 0.26432 0.553464.79676 0.16726 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 1.84456 0.882902.08922 5.84043 −6.40396  −0.68735  f4/ΣNP IN12/f IN23/f IN34/f TP3/fTP4/f 0.37314 0.08827 0.10034 0.03781 0.14140 0.18018 InTL HOS HOS/HOIInS/HOS InTL/HOS ΣTP/InTL 1.34974 2.08923 2.03232 0.89196 0.646050.77815 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 +IN23 + TP3) 0.64830 1.54164 0.38889 0.78476 0.17240 |InRS41|/TP4|InRS42|/TP4 HVT42/HOI HVT42/HOS 0.1027  0.0229  0.4114  0.2024  MTFE0MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.92   0.9   0.85   0.83   0.77   0.67  VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.00100 −0.00000  −0.00000 −0.00000  0.00250 0.00250 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF70.63100 0.63600 0.59000 0.63100 0.60300 0.43700 ISFS0 ISFS3 ISFS7 ITFS0ITFS3 ITFS7 0.01600 0.01250 0.00500 0.01500 0.01000 0.00250 ISMTF0ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.52100 0.44400 0.40200 0.520000.37400 0.19700 FS AIFS AVFS AFS 0.01500 0.01000 0.00083 0.00917

The following values for the conditional expressions can be obtainedfrom the data in Table 3 and Table 4.

Values Related to Inflection Point of Second Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 0.1522 HIF111/HOI 0.1481 SGI1110.0034 |SGI111|/(|SGI111| + TP1) 0.0192 HIF121 0.1456 HIF121/HOI 0.1417SGI121 0.0074 |SGI121|/(|SGI121| + TP1) 0.0408 HIF211 0.2328 HIF211/HOI0.2264 SGI211 0.0389 |SGI211|/(|SGI211| + TP2) 0.0796 HIF311 0.2617HIF311/HOI 0.2546 SGI311 −0.0900 |SGI311|/(|SGI311| + TP3) 0.3249 HIF3210.2495 HIF321/HOI 0.2427 SGI321 −0.0673 |SGI321|/(|SGI321| + TP3) 0.2646HIF411 0.1827 HIF411/HOI 0.1778 SGI411 0.0122 |SGI411|/(|SGI411| + TP4)0.0486 HIF421 0.2076 HIF421/HOI 0.2020 SGI421 0.0250|SGI421|/(|SGI421| + TP4) 0.0950

Third Embodiment

Please refer to FIGS. 3A to 3E. FIG. 3A is a schematic view of theoptical image capturing system according to the third embodiment of thepresent disclosure. FIG. 3B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system, in the order from left to right,according to the third embodiment of the present disclosure. FIG. 3C isa characteristic diagram of modulation transfer of visible lightspectrum for the optical image capturing system according to the thirdembodiment of the present disclosure. FIG. 3D is a diagram showing thethrough-focus MTF values of the visible light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the thirdembodiment of the present disclosure. FIG. 3E is a diagram showing thethrough-focus MTF values of the infrared light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the thirdembodiment of the present disclosure. As shown in FIG. 3A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 310, an aperture stop 300, a second lenselement 320, a third lens element 330, a fourth lens element 340, anIR-bandstop filter 370, an image plane 380, and an image sensing device390.

The first lens element 310 has positive refractive power and is made ofplastic material. The first lens element 310 has a convex object-sidesurface 312 and a concave image-side surface 314, and both object-sidesurface 312 and image-side surface 314 are aspheric. Both of theobject-side surface 312 and image-side surface 314 thereof have oneinflection point.

The second lens element 320 has positive refractive power and is made ofplastic material. The second lens element 320 has a convex object-sidesurface 322 and a convex image-side surface 324, and both object-sidesurface 322 and image-side surface 324 are aspheric. Both of theobject-side surface 322 and image-side surface 324 thereof have oneinflection point.

The third lens element 330 has positive refractive power and is made ofplastic material. The third lens element 330 has a concave object-sidesurface 332 and a convex image-side surface 334, and both object-sidesurface 332 and image-side surface 334 are aspheric. Both of theobject-side surface 332 and image-side surface 334 thereof have oneinflection point.

The fourth lens element 340 has negative refractive power and is made ofplastic material. The fourth lens element 340 has a convex object-sidesurface 342 and a concave image-side surface 344. Both object-sidesurface 342 and image-side surface 344 are aspheric and have oneinflection point.

The IR-bandstop filter 370 is made of glass material and is disposedbetween the fourth lens element 340 and the image plane 380, withoutaffecting the focal length of the optical image capturing system.

In the optical image capturing system of the third embodiment, thefirst, second and third lens elements are positive lens, and their focallengths are f1, f2 and f3, respectively. The sum of the focal lengthsfor all lens elements having positive refractive power is ΣPP, whichsatisfies the following condition: ΣPP=f1+f2+f3. Therefore, the positiverefractive power of a single lens element may be distributed to otherpositive lens elements appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the third embodiment, the sumof the focal lengths for all lens elements having negative refractivepower is ΣNP, which satisfies the following condition: ΣNP=f4.

Table 5 and Table 6 below should be incorporated into the reference ofthe present embodiment.

TABLE 5 Lens Parameters for the Third Embodiment f(focal length) =1.3310 mm; f/HEP = 2.0; HAF(half angle of view) = 37.5170 deg; tan(HAF)= 0.7678 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Length 0 Object Plane At infinity 1 Lens 10.83935305 0.175 Plastic 1.584 29.88 238.535 2 0.779262354 0.085 3Aperture Plane 0.050 Stop 4 Lens 2 0.623234619 0.285 Plastic 1.545 55.961.089 5 −11.00170615 0.123 6 Lens 3 −0.364938387 0.175 Plastic 1.64222.46 10.040 7 −0.410676892 0.050 8 Lens 4 1.0692297 0.175 Plastic 1.64222.46 −7.515 9 0.820249597 0.138 10 IR-bandstop Plane 0.210 BK7_(—)1.517 64.13 Filter SCHOTT 11 Plane 0.442 12 Image Plane Plane ReferenceWavelength = 555 nm; Shield Position: The 1^(st) surface with clearaperture of 0.370 mm and the 5^(th) surface with clear aperture of 0.350mm

TABLE 6 The Aspheric Coefficients of the Third Embodiment Table 6:Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −1.559670E+01−3.285895E+01  −3.283737E−01 −2.715604E+01 −1.097425E+00 −1.384866E+00A₄ =  2.960488E+00 5.065976E+00 −7.176660E−01  3.614461E−01 2.214305E+00 −4.780890E+00 A₆ = −8.781953E+01 −1.155499E+02 −5.059534E+01 −7.045897E+01 −8.731178E+01  1.414294E+02 A₈ = 2.168917E+03 1.873961E+02  2.209574E+03  1.490315E+03  2.841182E+03−1.711255E+03 A₁₀ = −3.808808E+04 4.119672E+04 −6.239210E+04−2.783463E+04 −5.162307E+04  9.272611E+03 A₁₂ =  4.172494E+05−9.858251E+05   9.875788E+05  2.549608E+05  5.492447E+05  4.055356E+04A₁₄ = −2.731712E+06 1.068435E+07 −9.081709E+06 −1.110874E+06−3.054910E+06 −7.073760E+05 A₁₆ =  9.752197E+06 −5.730864E+07  4.401602E+07  2.625091E+06  7.919499E+06  2.992540E+06 A₁₈ =−1.459442E+07 1.229646E+08 −8.582584E+07 −4.104192E+06 −6.822180E+06−4.349295E+06 A₂₀ =  1.874089E+01 0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00  0.000000E+00 Surface No. 8 9 k =−9.000000E+01 −1.042971E+01 A₄ = −5.438650E+00 −5.344102E+00 A₆ = 9.066051E+01  5.295146E+01 A₈ = −1.364068E+03 −4.481013E+02 A₁₀ = 1.266697E+04  2.489477E+03 A₁₂ = −7.011162E+04 −8.594433E+03 A₁₄ = 2.041429E+05  1.680325E+04 A₁₆ = −2.001005E+05 −1.520673E+04 A₁₈ =−1.771508E+05  2.609779E+03 A₂₀ =  0.000000E+00  0.000000E+00

In the third embodiment, the presentation of the aspheric surfaceequation is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are similar to those inthe first embodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 5 and Table 6.

Third Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3ETP4 ED12/ED23 SED 0.162  0.193  0.186  0.197  3.763  0.351  ETP1/TP1ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.926  0.679  1.062  1.126 0.272  0.738  ETL EBL EIN EIR PIR STP 2.085  0.691  1.395  0.171  0.219 0.810  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.669  0.695  0.777 0.8747  0.79   0.912  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN340.157  0.042  0.153  1.164  0.339  3.061  InRS41 InRS42 HVT41 HVT42 ODT% TDT % −0.06700  −0.09200  0.20300 0.29700 1.30000 0.60800 |f/f1||f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.00558 1.22222 0.13257 0.17711219.04040  0.10847 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 1.36037 0.177117.68084 249.66400  −7.51500  0.95542 f4/ΣNP IN12/f IN23/f IN34/f TP3/fTP4/f −0.14491  0.10143 0.09241 0.03757 0.13148 0.13148 InTL HOS HOS/HOIInS/HOS InTL/HOS ΣTP/InTL 1.11700 1.90700 1.85506 0.86418 0.585740.72516 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 +IN23 + TP3) 1.08772 1.28571 0.61404 1.00000 0.21098 |InRS41|/TP4|InRS42|/TP4 HVT42/HOI HVT42/HOS 0.3829  0.5257  0.2889  0.1557  MTFE0MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9   0.86   0.8   0.76   0.65   0.54  VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.00250 −0.00000  −0.00750  0.002500.00750 0.01000 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.533000.52000 0.51900 0.53300 0.48200 0.40700 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3ITFS7 0.02250 0.01750 0.00500 0.02250 0.02250 0.00750 ISMTF0 ISMTF3ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.52000 0.43000 0.39200 0.52000 0.347000.20200 FS AIFS AVFS AFS 0.02000 0.01625 0.00250 0.01375

The following values for the conditional expressions can be obtainedfrom the data in Table 5 and Table 6.

Values Related to Inflection Point of Third Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 0.2660 HIF111/HOI 0.2588 SGI1110.0370 |SGI111|/(|SGI111| + TP1) 0.1745 HIF121 0.1940 HIF121/HOI 0.1887SGI121 0.0200 |SGI121|/(|SGI121| + TP1) 0.1026 HIF211 0.2270 HIF211/HOI0.2208 SGI211 0.0380 |SGI211|/(|SGI211| + TP2) 0.1176 HIF221 0.3430HIF221/HOI 0.3337 SGI221 −0.0490 |SGI221|/(|SGI221| + TP2) 0.1467 HIF3110.2590 HIF311/HOI 0.2519 SGI311 −0.0860 |SGI311|/(|SGI311| + TP3) 0.3295HIF321 0.2470 HIF321/HOI 0.2403 SGI321 −0.0730 |SGI321|/(|SGI321| + TP3)0.2944 HIF411 0.0950 HIF411/HOI 0.0924 SGI411 0.0030|SGI411|/(|SGI411| + TP4) 0.0169 HIF421 0.1440 HIF421/HOI 0.1401 SGI4210.0100 |SGI421|/(|SGI421| + TP4) 0.0541

Fourth Embodiment

Please refer to FIGS. 4A to 4E. FIG. 4A is a schematic view of theoptical image capturing system according to the fourth embodiment of thepresent disclosure. FIG. 4B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system, in the order from left to right,according to the fourth embodiment of the present disclosure. FIG. 4C isa characteristic diagram of modulation transfer of visible lightspectrum for the optical image capturing system according to the fourthembodiment of the present disclosure. FIG. 4D is a diagram showing thethrough-focus MTF values of the visible light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the fourthembodiment of the present disclosure. FIG. 4E is a diagram showing thethrough-focus MTF values of the infrared light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the fourthembodiment of the present disclosure. As shown in FIG. 4A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 410, an aperture stop 400, a second lenselement 420, a third lens element 430, a fourth lens element 440, anIR-bandstop filter 470, an image plane 480, and an image sensing device490.

The first lens element 410 has positive refractive power and is made ofplastic material. The first lens element 410 has a convex object-sidesurface 412 and a concave image-side surface 414, and both object-sidesurface 412 and image-side surface 414 are aspheric. Both of theobject-side surface 412 and image-side surface 414 thereof have aninflection point.

The second lens element 420 has positive refractive power and is made ofplastic material. The second lens element 420 has a convex object-sidesurface 422 and a convex image-side surface 424, and both object-sidesurface 422 and image-side surface 424 are aspheric. The object-sidesurface 422 thereof has an inflection point.

The third lens element 430 has negative refractive power and is made ofplastic material. The third lens element 430 has a concave object-sidesurface 432 and a convex image-side surface 434, and both object-sidesurface 432 and image-side surface 434 are aspheric. The object-sidesurface 432 and image-side surface 434 thereof both have an inflectionpoint.

The fourth lens element 440 has positive refractive power and is made ofplastic material. The fourth lens element 440 has a convex object-sidesurface 442 and a concave image-side surface 444. Both object-sidesurface 442 and image-side surface 444 are aspheric and have aninflection point.

The IR-bandstop filter 470 is made of glass material and is disposedbetween the fourth lens element 440 and the image plane 480, withoutaffecting the focal length of the optical image capturing system.

In the optical image capturing system of the fourth embodiment, thefirst, second and fourth lens elements are positive lens, and theirfocal lengths are f1, f2 and f4, respectively. The sum of the focallengths for all lens elements having positive refractive power is ΣPP,which satisfies the following condition: ΣPP=f1+f2+f4. Therefore, thepositive refractive power of a single lens element may be distributed toother positive lens elements appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the fourth embodiment, thefocal length of the third lens element is f3, and the sum of the focallengths for all lens elements having negative refractive power is ΣNP,which satisfies the following condition: ΣNP=f3.

Table 7 and Table 8 below should be incorporated into the reference ofthe present embodiment.

TABLE 7 Lens Parameters for the Fourth Embodiment f(focal length) =1.3290 mm; f/HEP = 2.0; HAF(half angle of view) = 37.5150 deg; tan(HAF)= 0.7677 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Length 0 Object Plane At infinity 1 Lens 10.796358327 0.175 Plastic 1.584 29.88 47.93 2 0.752894203 0.095 3Aperture Plane 0.050 Stop 4 Lens 2 0.69002414 0.289 Plastic 1.545 55.961.14 5 −5.470145447 0.127 6 Lens 3 −0.375226684 0.175 Plastic 1.64222.46 −7.54 7 −0.480949837 0.050 8 Lens 4 0.634776701 0.175 Plastic1.642 22.46 9.92 9 0.628050498 0.130 10 IR-bandstop Plane 0.210 BK7_(—)1.517 64.13 Filter SCHOTT 11 Plane 0.446 12 Image Plane Plane ReferenceWavelength = 555 nm; Shield Position: The 1^(st) surface with clearaperture of 0.390 mm and the 5^(th) surface with clear aperture of 0.350mm

TABLE 8 The Aspheric Coefficients of the Fourth Embodiment Table 8:Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −1.559070E+01−3.277696E+01 −1.338964E−01 −2.644155E+01 −9.444825E−01 −8.569895E−01 A₄=  3.931058E+00  6.407587E+00 −7.455663E−01 −3.112638E−01  1.474769E+00−7.584700E+00 A₆ = −1.040453E+02 −1.208225E+02 −4.905075E+01−7.316173E+01 −2.913984E+01  2.026719E+02 A₈ =  2.548788E+03−4.252993E+01  2.152711E+03  1.536768E+03  1.861605E+02 −2.697091E+03A₁₀ = −4.367449E+04  4.938506E+04 −6.180943E+04 −3.005936E+04−1.107176E+03  1.921504E+04 A₁₂ =  4.647813E+05 −1.098966E+06 9.823348E+05  3.189116E+05  8.405416E+04 −1.663989E+04 A₁₄ =−2.944070E+06  1.140707E+07 −9.044375E+06 −1.714189E+06 −9.804138E+05−5.393357E+05 A₁₆ =  1.013712E+07 −5.908647E+07  4.382259E+07 4.420446E+06  4.316120E+06  2.803448E+06 A₁₈ = −1.459442E+07 1.229646E+08 −8.582584E+07 −4.104192E+06 −6.822180E+06 −4.349295E+06A₂₀ =  1.874407E+01  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 Surface No. 8 9 k = −2.727253E+01−1.028315E+01 A₄ = −4.999799E+00 −3.743632E+00 A₆ =  6.751631E+01 2.859772E+01 A₈ = −9.280684E+02 −2.281186E+02 A₁₀ =  7.954824E+03 1.278101E+03 A₁₂ = −3.875688E+04 −4.522034E+03 A₁₄ =  8.940373E+04 9.165264E+03 A₁₆ = −2.453740E+04 −9.062636E+03 A₁₈ = −1.771508E+05 2.609779E+03 A₂₀ =  0.000000E+00  0.000000E+00

In the fourth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 7 and Table 8.

Fourth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3ETP4 ED12/ED23 SED 0.165 0.200 0.190 0.192 2.891 0.369 ETP1/TP1 ETP2/TP2ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.941 0.692 1.088 1.096 0.308 0.747 ETLEBL EIN EIR PIR STP 1.869 0.753 1.116 0.096 0.130 0.814 EIN/ETL SETP/EINEIR/PIR EBL/BL BL SETP/STP 0.597 0.670 0.742  0.9568 0.787 0.918 ED12ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.149 0.052 0.168 1.028 0.4083.356 InRS41 InRS42 HVT41 HVT42 ODT % TDT %  −0.04300  −0.06200  0.26100 0.34000  1.30500  0.49200 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.02773  1.16477  0.17617  0.13399  42.00876  0.15125 ΣPPR ΣNPRΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP  1.32648  0.17617  7.52969  58.99200 −7.54400  0.81252 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f  −0.15125 0.10910  0.09556  0.03762  0.13168  0.13168 InTL HOS HOS/HOI InS/HOSInTL/HOS ΣTP/InTL  1.13600  1.92300  1.87062  0.85959  0.59074  0.71655(TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 +TP3)  1.10727  1.28571  0.60554  1.00000  0.21489 |InRS41|/TP4|InRS42|/TP4 HVT42/HOI HVT42/HOS  0.2457  0.3543  0.3307  0.1768 MTFE0MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9  0.87  0.84  0.75  0.68  0.58  VSFS0VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.003 −0.000  −0.008  0.003 0.008 0.008VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.525 0.532 0.540 0.525 0.5140.418 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.025 0.020 0.005 0.025 0.0200.008 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.519 0.440 0.400 0.5190.368 0.214 FS AIFS AVFS AFS 0.023 0.017 0.002 0.015

The following values for the conditional expressions can be obtainedfrom the data in Table 7 and Table 8.

Values Related to Inflection Point of Fourth Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 0.3010 HIF111/HOI 0.2928 SGI1110.0510 |SGI111|/(|SGI111| + TP1) 0.2257 HIF121 0.2200 HIF121/HOI 0.2140SGI121 0.0280 |SGI121|/(|SGI121| + TP1) 0.1379 HIF211 0.2190 HIF211/HOI0.2130 SGI211 0.0320 |SGI211|/(|SGI211| + TP2) 0.0997 HIF311 0.2600HIF311/HOI 0.2529 SGI311 −0.0870 |SGI311|/(|SGI311| + TP3) 0.3321 HIF3210.2570 HIF321/HOI 0.2500 SGI321 −0.0750 |SGI321|/(|SGI321| + TP3) 0.3000HIF411 0.1210 HIF411/HOI 0.1177 SGI411 0.0090 |SGI411|/(|SGI411| + TP4)0.0489 HIF421 0.1620 HIF421/HOI 0.1576 SGI421 0.0160|SGI421|/(|SGI421| + TP4) 0.0838

Fifth Embodiment

Please refer to FIGS. 5A to 5E. FIG. 5A is a schematic view of theoptical image capturing system according to the fifth embodiment of thepresent disclosure. FIG. 5B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system, in the order from left to right,according to the fifth embodiment of the present disclosure. FIG. 5C isa characteristic diagram of modulation transfer of visible lightspectrum for the optical image capturing system according to the fifthembodiment of the present disclosure. FIG. 5D is a diagram showing thethrough-focus MTF values of the visible light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the fifthembodiment of the present disclosure. FIG. 5E is a diagram showing thethrough-focus MTF values of the infrared light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the fifthembodiment of the present disclosure. As shown in FIG. 5A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 510, an aperture stop 500, a second lenselement 520, a third lens element 530, a fourth lens element 540, anIR-bandstop filter 570, an image plane 580, and an image sensing device590.

The first lens element 510 has positive refractive power and is made ofplastic material. The first lens element 510 has a convex object-sidesurface 512 and a concave image-side surface 514, and both object-sidesurface 512 and image-side surface 514 are aspheric. The object-sidesurface 512 and image-side surface 514 thereof both have one inflectionpoint.

The second lens element 520 has positive refractive power and is made ofplastic material. The second lens element 520 has a convex object-sidesurface 522 and a convex image-side surface 524, and both object-sidesurface 522 and image-side surface 524 are aspheric. The object-sidesurface 522 thereof has one inflection point.

The third lens element 530 has positive refractive power and is made ofplastic material. The third lens element 530 has a concave object-sidesurface 532 and a convex image-side surface 534, and both object-sidesurface 532 and image-side surface 534 are aspheric. The object-sidesurface 532 and image-side surface 534 thereof both have one inflectionpoint.

The fourth lens element 540 has negative refractive power and is made ofplastic material. The fourth lens element 540 has a convex object-sidesurface 542 and a concave image-side surface 544. Both object-sidesurface 542 and image-side surface 544 are aspheric. The object-sidesurface 542 and image-side surface 544 thereof both have one inflectionpoint.

The IR-bandstop filter 570 is made of glass material and is disposedbetween the fourth lens element 540 and the image plane 580, withoutaffecting the focal length of the optical image capturing system.

In the optical image capturing system of the fifth embodiment, thefirst, second and third lens elements are positive lens, and their focallengths are f1, f2 and f3, respectively. The sum of the focal lengthsfor all lens elements having positive refractive power is ΣPP, whichsatisfies the following condition: ΣPP=f1+f2+f3. Therefore, the positiverefractive power of a single lens element may be distributed to otherpositive lens elements appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the fifth embodiment, the sumof the focal lengths for all lens elements having negative refractivepower is ΣNP, which satisfies the following condition: ΣNP=f4.

Table 9 and Table 10 below should be incorporated into the reference ofthe present embodiment.

TABLE 9 Lens Parameters for the Fifth Embodiment f(focal length) =1.3290 mm; f/HEP = 2.0; HAF(half angle of view) = 37.5120 deg; tan(HAF)= 0.7677 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Length 0 Object Plane At Infinity 1 Lens 10.764838324 0.175 Plastic 1.584 29.88 32.549 2 0.729251375 0.105 3Aperture Plane 0.050 Stop 4 Lens 2 0.770395463 0.297 Plastic 1.545 55.961.164 5 −3.142770862 0.142 6 Lens 3 −0.364018853 0.175 Plastic 1.64222.46 10.785 7 −0.411367225 0.050 8 Lens 4 0.704534047 0.175 Plastic1.642 22.46 −8.882 9 0.566378176 0.133 10 IR-bandstop Plane 0.210 BK_71.517 64.13 Filter 11 Plane 0.426 12 Image Plane 0.000 Plane ReferenceWavelength = 555 nm; Shield Position: The 1^(st) surface with clearaperture of 0.400 mm and the 5^(th) surface with clear aperture of 0.350mm

TABLE 10 The Aspheric Coefficients of the Fifth Embodiment Table 10:Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −1.556135E+01−3.280664E+01  −3.827055E−01 −2.644155E+01 −9.330802E−01  −1.025218E+00A₄ =  4.702703E+00 7.815202E+00 −7.484692E−01 −1.194821E+00 2.840791E−01−4.611834E+00 A₆ = −1.160799E+02 −1.393947E+02  −3.722463E+01−5.746811E+01 2.103726E+01  1.376837E+02 A₈ =  2.832783E+03 2.293905E+02 1.632621E+03  1.097333E+03 −1.663331E+03  −1.900876E+03 A₁₀ =−4.795248E+04 4.713187E+04 −5.067966E+04 −2.273134E+04 3.161881E+04 1.231873E+04 A₁₂ =  5.017520E+05 −1.090364E+06   8.450075E+05 2.609284E+05 −2.054994E+05   2.342849E+04 A₁₄ = −3.109684E+061.139193E+07 −8.139072E+06 −1.526369E+06 2.733846E+05 −6.727018E+05 A₁₆=  1.043435E+07 −5.906522E+07   4.116555E+07  4.236962E+06 2.190178E+06 2.990921E+06 A₁₈ = −1.459442E+07 1.229646E+08 −8.582584E+07−4.104192E+06 −6.822180E+06  −4.349295E+06 A₂₀ =  1.874596E+010.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00Surface No. 8 9 k = −3.602467E+01 −1.030472E+01 A₄ = −2.350703E+00−2.912683E+00 A₆=  1.381331E+01  1.830157E+01 A₈ = −2.230149E+02−1.401876E+02 A₁₀ =  1.983758E+03  7.950709E+02 A₁₂ = −7.402581E+03−2.878355E+03 A₁₄ = −2.462934E+03  6.062118E+03 A₁₆ =  9.002743E+04−6.575243E+03 A₁₈ = −1.771508E+05  2.609779E+03 A₂₀ =  0.000000E+00 0.000000E+00

In the fifth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 9 and Table 10:

Fifth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3ETP4 ED12/ED23 SED 0.167 0.210 0.188 0.196 2.088 0.389 ETP1/TP1 ETP2/TP2ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.957 0.707 1.075 1.120 0.380 0.761 ETLEBL EIN EIR PIR STP 1.879 0.729 1.150 0.093 0.133 0.822 EIN/ETL SETP/EINEIR/PIR EBL/BL BL SETP/STP 0.612 0.662 0.703  0.9480 0.769 0.927 ED12ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.142 0.068 0.179 0.916 0.4793.577 InRS41 InRS42 HVT41 HVT42 ODT % TDT %  −0.04100  −0.04600  0.27400 0.36500  1.30000  0.44600 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.04083  1.14175  0.12323  0.14963  27.96306  0.10793 ΣPPR ΣNPRΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP  1.30581  0.14963  8.72702  44.49800 −8.88200  0.73147 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f  1.00000 0.11663  0.10685  0.03762  0.13168  0.13168 InTL HOS HOS/HOI InS/HOSInTL/HOS ΣTP/InTL  1.16800  1.93700  1.88424  0.85545  0.60299  0.70377(TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 +TP3)  1.11111  1.28571  0.58923  1.00000  0.23127 |InRS41|/TP4|InRS42|/TP4 HVT42/HOI HVT42/HOS  0.2343  0.2629  0.3551  0.1884 MTFE0MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9  0.89  0.85  0.75  0.73  0.64  VSFS0VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.003 −0.000  −0.005  0.003 0.005 0.005VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.506 0.529 0.555 0.506 0.5350.434 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.025 0.020 0.008 0.025 0.0200.008 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.527 0.458 0.408 0.5270.392 0.222 FS AIFS AVFS AFS 0.023 0.018 0.002 0.016

The following values for the conditional expressions can be obtainedfrom the data in Table 9 and Table 10.

Values Related to Inflection Point of Fifth Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 0.3250 HIF111/HOI 0.3161 SGI1110.0640 |SGI111|/(|SGI111| + TP1) 0.2678 HIF121 0.2410 HIF121/HOI 0.2344SGI121 0.0350 |SGI121|/(|SGI121| + TP1) 0.1667 HIF211 0.2080 HIF211/HOI0.2023 SGI211 0.0260 |SGI211|/(|SGI211| + TP2) 0.0805 HIF311 0.2620HIF311/HOI 0.2549 SGI311 −0.0950 |SGI311|/(|SGI311| + TP3) 0.3519 HIF3210.2640 HIF321/HOI 0.2568 SGI321 −0.0860 |SGI321|/(|SGI321| + TP3) 0.3295HIF411 0.1330 HIF411/HOI 0.1294 SGI411 0.0090 |SGI411|/(|SGI411| + TP4)0.0489 HIF421 0.1710 HIF421/HOI 0.1663 SGI421 0.0200|SGI421|/(|SGI421| + TP4) 0.1026

Sixth Embodiment

Please refer to FIGS. 6A to 6E. FIG. 6A is a schematic view of theoptical image capturing system according to the sixth embodiment of thepresent disclosure. FIG. 6B shows the longitudinal spherical aberrationcurves, astigmatic field curves, and optical distortion curve of theoptical image capturing system, in the order from left to right,according to the sixth embodiment of the present disclosure. FIG. 6C isa characteristic diagram of modulation transfer of visible lightspectrum for the optical image capturing system according to the sixthembodiment of the present disclosure. FIG. 6D is a diagram showing thethrough-focus MTF values of the visible light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the sixthembodiment of the present disclosure. FIG. 6E is a diagram showing thethrough-focus MTF values of the infrared light spectrum at the centralfield of view, 0.3 field of view, and 0.7 field of view of the sixthembodiment of the present disclosure. As shown in FIG. 6A, in the orderfrom an object side to an image side, the optical image capturing systemincludes a first lens element 610, an aperture stop 600, a second lenselement 620, a third lens element 630, a fourth lens element 640, anIR-bandstop filter 670, an image plane 680, and an image sensing device690.

The first lens element 610 has positive refractive power and is made ofplastic material. The first lens element 610 has a convex object-sidesurface 612 and a concave image-side surface 614, and both object-sidesurface 612 and image-side surface 614 are aspheric. The object-sidesurface 612 thereof has an inflection point.

The second lens element 620 has positive refractive power and is made ofplastic material. The second lens element 620 has a convex object-sidesurface 622 and a convex image-side surface 624, and both object-sidesurface 622 and image-side surface 624 are aspheric. The object-sidesurface 622 thereof has one inflection points.

The third lens element 630 has positive refractive power and is made ofplastic material. The third lens element 630 has a concave object-sidesurface 632 and a convex image-side surface 634, and both object-sidesurface 632 and image-side surface 634 are aspheric. The object-sidesurface 632 thereof has one inflection points.

The fourth lens element 640 has negative refractive power and is made ofplastic material. The fourth lens element 640 has a convex object-sidesurface 642 and a concave image-side surface 644. Both object-sidesurface 642 and image-side surface 644 are aspheric and have oneinflection point.

The IR-bandstop filter 670 is made of glass material and is disposedbetween the fourth lens element 640 and the image plane 680, withoutaffecting the focal length of the optical image capturing system.

In the optical image capturing system of the sixth embodiment, thefirst, second and third lens elements are positive lens, and their focallengths are f1, f2 and f3, respectively. The sum of the focal lengthsfor all lens elements having positive refractive power is ΣPP, whichsatisfies the following condition: ΣPP=f1+f2+f3. Therefore, the positiverefractive power of a single lens element may be distributed to otherpositive lens elements appropriately, so as to suppress noticeableaberrations generated when the incident light is propagating in theoptical system.

In the optical image capturing system of the sixth embodiment, the sumof the focal lengths for all lens elements having negative refractivepower is ΣNP, which satisfies the following condition: ΣNP=f4.

Table 11 and Table 12 below should be incorporated into the reference ofthe present embodiment.

TABLE 11 Lens Parameters for the Sixth Embodiment f(focal length) =1.3290 mm; f/HEP = 2.0; HAF(half angle of view) = 37.5120 deg; tan(HAF)= 0.7677 Thickness Refractive Focal Surface No. Curvature Radius (mm)Material Index Abbe No. Length 0 Object Plane At infinity 1 Lens 10.852727177 0.175 Plastic 1.584 29.88 27.43 2 0.831996164 0.091 3Aperture Plane 0.054 Stop 4 Lens 2 0.761891411 0.289 Plastic 1.545 55.961.19 5 −3.904738276 0.165 6 Lens 3 −0.361643479 0.175 Plastic 1.64222.46 3.29 7 −0.367957202 0.050 8 Lens 4 0.829526508 0.175 Plastic 1.64222.46 −3.09 9 0.537691373 0.133 10 IR-bandsop Plane 0.210 BK_7 1.51764.13 Filter 11 Plane 0.403 12 Image Plane Plane Reference Wavelength =555 nm; Shield Position: The 1^(st) surface with clear aperture of 0.410mm and the 5^(th) surface with clear aperture of 0.390 mm

TABLE 12 The Aspheric Coefficients of the Sixth Embodiment Table 12:Aspheric Coefficients Surface No. 1 2 4 5 6 7 k = −1.557647E+01−3.277776E+01 −2.789439E−01 −2.836680E+01 −8.227774E−01 −1.160439E+00 A₄=  3.496099E+00  4.070620E+00 −1.045470E+00 −1.071473E+00 −7.042761E−02−1.595838E+00 A₆ = −1.127991E+02 −3.227539E+01 −2.564283E+01−5.128397E+01  4.173408E+01  5.861257E+01 A₈ =  3.028273E+03−2.350251E+03  1.176839E+03  1.010546E+03 −2.176985E+03 −6.395381E+02A₁₀ = −5.234801E+04  8.785110E+04 −3.996886E+04 −2.036338E+04 3.762443E+04 −1.481922E+03 A₁₂ =  5.430169E+05 −1.475501E+06 7.157242E+05  2.273671E+05 −2.413331E+05  1.134396E+05 A₁₄ =−3.294190E+06  1.338238E+07 −7.321641E+06 −1.326611E+06  3.738232E+05−9.795245E+05 A₁₆ =  1.075724E+07 −6.336433E+07  3.923895E+07 3.816418E+06  2.097561E+06  3.407940E+06 A₁₈ = −1.459442E+07 1.229646E+08 −8.582584E+07 −4.104192E+06 −6.822180E+06 −4.349295E+06A₂₀ =  1.874288E+01  0.000000E+00  0.000000E+00  0.000000E+00 0.000000E+00  0.000000E+00 Surface No. 8 9 k = −5.134444E+01−1.033455E+01 A₄ = −4.577708E−01 −2.412686E+00 A₆ = −1.934862E+01 1.478557E+01 A₈ =  1.955137E+02 −1.211551E+02 A₁₀ = −1.529580E+03 7.099192E+02 A₁₂ =  1.081871E+04 −2.582762E+03 A₁₄ = −5.450324E+04 5.449786E+03 A₁₆ =  1.527241E+05 −6.031428E+03 A₁₈ = −1.771508E+05 2.609779E+03 A₂₀ =  0.000000E+00  0.000000E+00

In the sixth embodiment, the form of the aspheric surface equation issimilar to that in the first embodiment. Besides, the definitions ofparameters in following tables are similar to those in the firstembodiment, so the repetitive details will not be given here.

The following values for the conditional expressions can be obtainedfrom the data in Table 11 and Table 12:

Sixth Embodiment (Primary Reference Wavelength = 555 nm) ETP1 ETP2 ETP3ETP4 ED12/ED23 SED 0.164 0.203 0.185 0.201 1.841 0.415 ETP1/TP1 ETP2/TP2ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.939 0.702 1.059 1.147 0.419 0.753 ETLEBL EIN EIR PIR STP 1.870 0.702 1.168 0.089 0.133 0.814 EIN/ETL SETP/EINEIR/PIR EBL/BL BL SETP/STP 0.624 0.645 0.668  0.9398 0.747 0.925 ED12ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.146 0.079 0.189 1.006 0.4813.786 InRS41 InRS42 HVT41 HVT42 ODT % TDT %  −0.04000  −0.03700  0.28600 0.38800  1.30600  0.56600 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.04845  1.11400  0.40407  0.43038  22.99413  0.36272 ΣPPR ΣNPRΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP  1.56652  0.43038  3.63989  31.91400 −3.08800  0.85956 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f  1.00000 0.10910  0.12415  0.03762  0.13168  0.13168 InTL HOS HOS/HOI InS/HOSInTL/HOS ΣTP/InTL  1.17400  1.92100  1.86868  0.86101  0.61114  0.69336(TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 +TP3)  1.10727  1.28571  0.60554  1.00000  0.26232 |InRS41|/TP4|InRS42|/TP4 HVT42/HOI HVT42/HOS  0.2286  0.2114  0.3774  0.2020 MTFE0MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9  0.88  0.85  0.73  0.74  0.65  VSFS0VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.003 −0.000  −0.005  0.003 0.005 0.005VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.506 0.529 0.555 0.506 0.5350.434 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.025 0.020 0.008 0.025 0.0200.008 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.527 0.458 0.408 0.5270.392 0.222 FS AIFS AVFS AFS 0.023 0.018 0.002 0.016

The following values for the conditional expressions can be obtainedfrom the data in Table 11 and Table 12:

Values Related to Inflection Point of Sixth Embodiment (PrimaryReference Wavelength = 555 nm) HIF111 0.3020 HIF111/HOI 0.2938 SGI1110.0470 |SGI111|/(|SGI111| + TP1) 0.2117 HIF121 0.2210 HIF121/HOI 0.2150SGI121 0.0250 |SGI121|/(|SGI121| + TP1) 0.1250 HIF211 0.2120 HIF211/HOI0.2062 SGI211 0.0270 |SGI211|/(|SGI211| + TP2) 0.0854 HIF311 0.2670HIF311/HOI 0.2597 SGI311 −0.1010 |SGI311|/(|SGI311| + TP3) 0.3659 HIF3210.2720 HIF321/HOI 0.2646 SGI321 −0.0960 |SGI321|/(|SGI321| + TP3) 0.3542HIF411 0.1460 HIF411/HOI 0.1420 SGI411 0.0090 |SGI411|/(|SGI411| + TP4)0.0489 HIF421 0.1790 HIF421/HOI 0.1741 SGI421 0.0230|SGI421|/(|SGI421| + TP4) 0.1162

Although the present invention is disclosed by the aforementionedembodiments, those embodiments do not serve to limit the scope of thepresent invention. A person skilled in the art could perform variousalterations and modifications to the present invention, withoutdeparting from the spirit and the scope of the present invention. Hence,the scope of the present invention should be defined by the followingappended claims.

Despite the fact that the present invention is specifically presentedand illustrated with reference to the exemplary embodiments thereof, itshould be apparent to a person skilled in the art that, variousmodifications could be performed to the forms and details of the presentinvention, without departing from the scope and spirit of the presentinvention defined in the claims and their equivalence.

What is claimed is:
 1. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with refractivepower; a second lens element with refractive power; a third lens elementwith refractive power; a fourth lens element with refractive power; afirst image plane, which is an image plane specifically for visiblelight and perpendicular to an optical axis; a through-focus modulationtransfer rate (value of MTF) at a first spatial frequency having amaximum value at central field of view of the first image plane; and asecond image plane, which is an image plane specifically for infraredlight and perpendicular to the optical axis; the through-focusmodulation transfer rate (value of MTF) at the first spatial frequencyhaving a maximum value at central of field of view of the second imageplane; wherein the optical image capturing system comprises four lenselements with refractive powers, at least one of the four lens elementshas positive refractive power; focal lengths of the four lens elementsare respectively f1, f2, f3 and f4; a focal length of the optical imagecapturing system is f, and an entrance pupil diameter of the opticalimage capturing system is HEP; a distance on the optical axis from anobject-side surface of the first lens element to the first image planeis HOS, a distance on the optical axis from the object-side surface ofthe first lens element to an image-side surface of the fourth lenselement is InTL, half of a maximum viewable angle of the optical imagecapturing system is denoted by HAF; the optical image capturing systemhas a maximum image height HOI on the first image plane perpendicular tothe optical axis; a distance on the optical axis between the first imageplane and the second image plane is denoted by FS; thicknesses of thefirst to fourth lens elements at height of ½ HEP paralleling the opticalaxis are respectively ETP1, ETP2, ETP3 and ETP4; a sum of ETP1 to ETP4described above is SETP; central thicknesses of the first to fourth lenselements on the optical axis are respectively TP1, TP2, TP3 and TP4; asum of TP1 to TP4 described above is STP; conditions as follows aresatisfied: 1≤f/HEP≤10, 0 deg<HAF≤150 deg, 0.5≤SETP/STP<1, and |FS|≤30μm.
 2. The optical image capturing system of claim 1, wherein awavelength of the infrared light ranges from 700 nm to 1000 nm, and thefirst spatial frequency is denoted by SP1, which satisfies the followingcondition: SP1≤440 cycles/mm.
 3. The optical image capturing system ofclaim 1, wherein a horizontal distance paralleling the optical axis froma coordinate point on the object-side surface of the first lens elementat height of ½ HEP to the first image plane is ETL; a horizontaldistance paralleling the optical axis from the coordinate point on theobject-side surface of the first lens element at height of ½ HEP to acoordinate point on the image-side surface of the fourth lens element atheight of ½ HEP is EIN; conditions as follows are satisfied:0.2≤EIN/ETL<1.
 4. The optical image capturing system of claim 1, whereinan image-side surface of the second lens element and an image-sidesurface of the third lens element on the optical axis are convexsurfaces.
 5. The optical image capturing system of claim 1, wherein halfof a vertical maximum viewable angle of the optical image capturingsystem is denoted by VHAF, and the following condition is satisfied:VHAF≥10 deg.
 6. The optical image capturing system of claim 1, whereinthe optical image capturing system satisfies the following condition:HOS/HOI≥1.2.
 7. The optical image capturing system of claim 1, wherein ahorizontal distance paralleling the optical axis from the coordinatepoint on the object-side surface of the first lens element at height of½ HEP to a coordinate point on the image-side surface of the fourth lenselement at height of ½ HEP is EIN; and condition as follow is satisfied:0.3≤SETP/EIN≤1.
 8. The optical image capturing system of claim 1,wherein a horizontal distance paralleling the optical axis from acoordinate point on the image-side surface of the fourth lens element atheight of ½ HEP to the first image plane is EBL, a horizontal distanceparalleling the optical axis from an axial point on the image-sidesurface of the fourth lens element to the first image plane is BL, andconditions as follows are satisfied: 0.1≤EBL/BL≤1.5.
 9. The opticalimage capturing system of claim 1, further comprising an aperture stop;wherein a distance from the aperture stop to the first image plane onthe optical axis is InS, which satisfies condition as follows:0.2≤InS/HOS≤1.1.
 10. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with positiverefractive power; a second lens element with refractive power, animage-side surface thereof on the optical axis being a convex surface; athird lens element with refractive power, an image-side surface thereofon the optical axis being a convex surface; a fourth lens element withrefractive power; a first image plane, which is an image planespecifically for visible light and perpendicular to an optical axis; athrough-focus modulation transfer rate (value of MTF) at a first spatialfrequency having a maximum value at central field of view of the firstimage plane, and the first spatial frequency being 220 cycles/mm; and asecond image plane, which is an image plane specifically for infraredlight and perpendicular to the optical axis; the through-focusmodulation transfer rate (value of MTF) at the first spatial frequencyhaving a maximum value at central of field of view of the second imageplane, and the first spatial frequency being 220 cycles/mm; wherein theoptical image capturing system comprises four lens elements withrefractive powers; at least one of the second to fourth lens elementshas positive refractive power; focal lengths of the four lens elementsare respectively f1, f2, f3 and f4; a focal length of the optical imagecapturing system is f; an entrance pupil diameter of the optical imagecapturing system is HEP; a distance on an optical axis from anobject-side surface of the first lens element to the first image planeis HOS, a distance on the optical axis from the object-side surface ofthe first lens element to an image-side surface of the fourth lenselement is InTL, half of a maximum viewable angle of the optical imagecapturing system is denoted by HAF; the optical image capturing systemhas a maximum image height HOI on the first image plane perpendicular tothe optical axis; a horizontal distance paralleling the optical axisfrom a coordinate point on the object-side surface of the first lenselement at height of ½ HEP to the first image plane is ETL; a horizontaldistance paralleling the optical axis from the coordinate point on theobject-side surface of the first lens element at height of ½ HEP to acoordinate point on the image-side surface of the fourth lens element atheight of ½ HEP is EIN; a distance on the optical axis between the firstimage plane and the second image plane is denoted by FS; conditions asfollows are satisfied: 1≤f/HEP≤10, 0 deg<HAF≤150 deg, 0.2≤EIN/ETL<1, and|FS|≤30 μm.
 11. The optical image capturing system of claim 10, whereinmodulation transfer rates of visible light at spatial frequency of 110cycles/mm at positions of the optical axis, 0.3 HOI and 0.7 HOI on thefirst image plane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7,and conditions as follows are satisfied: MTFQ0≥0.2, MTFQ3≥0.01, andMTFQ7≥0.01.
 12. The optical image capturing system of claim 10, whereinhalf of a vertical maximum viewable angle of the optical image capturingsystem is denoted by VHAF, and the following condition is satisfied:VHAF≥20 deg.
 13. The optical image capturing system of claim 10, whereinthe optical image capturing system satisfies the following condition:HOS/HOI≥1.4.
 14. The optical image capturing system of claim 10, whereina horizontal distance paralleling the optical axis from a coordinatepoint on an image-side surface of the third lens element at height of ½HEP to a coordinate point on an object-side surface of the fourth lenselement at height of ½ HEP is ED34; a distance between the third lenselement and the fourth lens element on the optical axis is IN34 andcondition as follows is satisfied: 0<ED34/IN34≤50.
 15. The optical imagecapturing system of claim 10, wherein a horizontal distance parallelingthe optical axis from a coordinate point on an image-side surface of thefirst lens element at height of ½ HEP to a coordinate point on anobject-side surface of the second lens element at height of ½ HEP isED12; a distance between the first lens element and the second lenselement on the optical axis is IN12 and condition as follows issatisfied: 0<ED12/IN12≤35.
 16. The optical image capturing system ofclaim 10, wherein a thickness of the second lens element at height of ½HEP paralleling the optical axis is ETP2, a central thickness of thesecond lens element on the optical axis is TP2, which satisfiescondition as follows: 0.1≤ETP2/TP2≤5.
 17. The optical image capturingsystem of claim 10, wherein a thickness of the third lens element atheight of ½ HEP paralleling the optical axis is ETP3, a centralthickness of the third lens element on the optical axis is TP3, whichsatisfies condition as follows: 0.1≤ETP3/TP3≤5.
 18. The optical imagecapturing system of claim 10, wherein a thickness of the fourth lenselement at height of ½ HEP paralleling the optical axis is ETP4, acentral thickness of the fourth lens element on the optical axis is TP4,which satisfies condition as follows: 0.1≤ETP4/TP4≤5.
 19. The opticalimage capturing system of claim 10, wherein at least one lens elementamong the first lens element, the second lens element, the third lenselement and the fourth lens element is a filter element of light withwavelength of less than 500 nm.
 20. An optical image capturing system,from an object side to an image side, comprising: a first lens elementwith positive refractive power; a second lens element with refractivepower, an image-side surface thereof on the optical axis being a convexsurface; a third lens element with refractive power, an image-sidesurface thereof on the optical axis being a convex surface; a fourthlens element with refractive power; a first average image plane, whichis an image plane specifically for visible light and perpendicular to anoptical axis; the first average image plane being installed at theaverage position of the defocusing positions, where through-focusmodulation transfer rates (values of MTF) of the visible light atcentral field of view, 0.3 field of view, and 0.7 field of view are attheir respective maximum at a first spatial frequency; the first spatialfrequency being 220 cycles/mm; and a second average image plane, whichis an image plane specifically for infrared light and perpendicular tothe optical axis; the second average image plane being installed at theaverage position of the defocusing positions, where through-focusmodulation transfer rates of the infrared light (values of MTF) atcentral field of view, 0.3 field of view, and 0.7 field of view are attheir respective maximum at the first spatial frequency; the firstspatial frequency being 220 cycles/mm; wherein the optical imagecapturing system comprises four lens elements with refractive power; atleast one of the third to fourth lens elements has positive refractivepower; focal lengths of the first lens element to the fourth lenselements are respectively f1, f2, f3 and f4; a focal length of theoptical image capturing system is f; an entrance pupil diameter of theoptical image capturing system is HEP; a distance on the optical axisfrom an object-side surface of the first lens element to the firstaverage image plane is HOS, a distance on the optical axis from theobject-side surface of the first lens element to an image-side surfaceof the fourth lens element is InTL, half of a maximum viewable angle ofthe optical image capturing system is denoted by HAF; the optical imagecapturing system has a maximum image height HOI on the first averageimage plane perpendicular to the optical axis; a horizontal distanceparalleling the optical axis from a coordinate point on the object-sidesurface of the first lens element at height of ½ HEP to the firstaverage image plane is ETL; a horizontal distance paralleling theoptical axis from the coordinate point on the object-side surface of thefirst lens element at height of ½ HEP to a coordinate point on theimage-side surface of the fourth lens element at height of ½ HEP is EIN;a distance on the optical axis between the first average image plane andthe second average image plane is denoted by AFS; half of a verticalmaximum viewable angle of the optical image capturing system is denotedby VHAF, conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg<HAF≤150deg, |AFS|≤30 μm, VHAF≥20 deg, and 0.2≤EIN/ETL<1.
 21. The optical imagecapturing system of claim 20, wherein thicknesses of the first to fourthlens elements at height of ½ HEP paralleling the optical axis arerespectively ETP1, ETP2, ETP3 and ETP4; a sum of ETP1 to ETP4 describedabove is SETP; the following condition is satisfied: 0.3≤SETP/EIN<1. 22.The optical image capturing system of claim 20, wherein the opticalimage capturing system satisfies the following condition: HOS/HOI≥1.6.23. The optical image capturing system of claim 20, wherein a linearmagnification of an image formed by the optical image capturing systemon the second average image plane is LM, which satisfies the followingcondition: LM≥0.0003.
 24. The optical image capturing system of claim20, further comprising an aperture stop and an image sensing device;wherein the image sensing device is disposed on the first average imageplane and comprises at least 100 thousand pixels, a distance on theoptical axis from the aperture stop to the first average image plane isInS; condition as follows is satisfied: 0.2≤InS/HOS≤1.1.
 25. The opticalimage capturing system of claim 20, further comprising an aperture stop,an image sensing device, and a driving module, wherein the image sensingdevice is disposed on the first average image plane and comprises atleast 100 thousand pixels, a distance from the aperture stop to thefirst average image plane is InS, and the driving module couples withthe four lens elements and enables movements of those lens elements;conditions as follows are satisfied: 0.2≤InS/HOS≤1.1.